Fields of Interest

Celestial Mechanics, Discrete Dynamical Systems and Ordinary Differential Equations.

J. C. Artés, J. Llibre and N. Vulpe. NEW 07/11/01
Quadratic systems with a rational first integral of degree 2: a complete classification in the coefficient space $$R¹².
Preprint, 2007. To appear in Rend. Circ. Mat. Palermo (2).


A. Buica, J. Llibre and O. Makarenkov. NEW 07/11/01
Asymptotic stability of periodic solutions for nonsmooth differential equations with application to the nonsmooth Van Der Pol oscillator.
Preprint, 2007.


V. Castellanos, M. Falconi and J. Llibre. NEW 07/11/01
Periodic orbits in predator-prey systems with Holling functional responses.
Preprint, 2007.


A. Cima, J. Llibre and L. Peng.
Perturbation thechniques for studying the periodic orbits and the limit cycles of 3-dimensional systems.
Preprint, 2007.


M. Corbera and J. Llibre.
Generation of symmetric periodic orbits by a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2 in $$R³.
Preprint, 2007. To appear in Internat. J. Bifur. Chaos Appl. Sci. Engrg..


B. Garcia, J. Llibre and J. P. del Río. NEW 07/11/01
On the number of limit cycles surrounding a unique singular point for polynomial differential systems of arbitrary degree.
Preprint, 2007.


W. Li, J. Llibre and H. Wu. NEW 07/11/01
Polynomial and linearized normal forms for almost periodic differential systems.
Preprint, 2007.


W. Li, J. Llibre and H. Wu. NEW 07/11/01
Normal forms for almost periodic differential systems.
Preprint, 2007.


J. Llibre. NEW 07/11/01
On the limit cycles of the Liénard differential systems.
Preprint, 2007. To appear in Bol. Soc. Esp. Mat. Apl. SEMA.


J. Llibre and A. Makhlouf. NEW 07/11/01
Bifurcation of limit cycles from a 2-dimensional center in control systems.
Preprint, 2007.


J. Llibre and R. D. Oliveira. NEW 07/10/26
Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 3.
Preprint, 2007.


J. Llibre and V. Pilyugina. NEW 07/11/01
Number of invariant straight lines for homogeneous polynomial vector fields of arbitrary degree and dimension.
Preprint, 2007.


J. Llibre, E. Ponce and F. Torres. NEW 07/11/01
On the existence and uniqueness of limit cycles in lienard differential equations allowing discontinuities.
Preprint, 2007.


J. Llibre and L. Roberto. NEW 07/11/01
Periodic orbits of the planar collision restricted 3-body problem in rotating coordinates.
Preprint, 2007.


J. Llibre, P. R. D. Silva and M. A. Teixeira. NEW 07/11/01
Sliding vector fields via slow-fast systems.
Preprint, 2007.


J. Llibre and V. F. Sirvent. NEW 07/11/01
Minimal sets of periods for Morse-Ssmale diffeomorphisms on orientable compact surfaces.
Preprint, 2007.


J. Llibre and C. Valls.
Centers for a 6-parameter family of polynomial vector fields of arbitrary degree.
Preprint, 2007. To appear in Bull. Sci. Math..


J. Llibre and C. Valls. NEW 07/11/01
Classification of the centers and their cyclicity for the generalized quadratic polynomial differential systems.
Preprint, 2007.


J. Llibre and C. Valls. NEW 07/11/01
Classification of the centers and their cyclicity for the generalized cubic polynomial differential systems.
Preprint, 2007.


J. Llibre and C. Valls. NEW 07/11/01
Analytic first integrals of the Fitzhugh-Nagumo systems.
Preprint, 2007. To appear in Z. Angew. Math. Phys..


J. Llibre, H. Wu and J. Yu. NEW 07/11/01
Linear estimate for the number of limit cycles of a perturbed cubic polynomial differential system.
Preprint, 2007.


J. Llibre and J. Yu.
On the upper bound of the number of limit cycles obtained by the second order averaging method.
Preprint, 2007. To appear in Dynam. Contin. Discrete Impuls. Systems.


J. Llibre and J. Yu. NEW 07/11/01
On the periodic orbits of the static spherically symmetric Einstein-Yang-Mills equations.
Preprint, 2007.


J. Llibre, J. Yu and X. Zhang. NEW 07/11/01
Limit cycles coming from the perturbation of 2-dimensional centers of vector fields in $$R³.
Preprint, 2007.


J. Llibre, J. Yu and X. Zhang. NEW 07/11/01
Limit cycles for a class of third-order differential equations.
Preprint, 2007.


J. Llibre and Y. Zhao. NEW 07/11/01
Algebraic limit cycles in polynomial systems of differential equations.
Preprint, 2007. To appear in J. Phys. A: Math. Gen..


L. Llibre and L. F. Mello. NEW 07/11/01
New central configurations for the planar 5-body problem.
Preprint, 2007.


L. Llibre and L. F. Mello. NEW 07/11/01
Triple and quadruple nested central configurations for the planar n-body problem.
Preprint, 2007.


H. Zoladek and J. Llibre. NEW 07/10/03
The Poincaré center problem.
Preprint, 2007. To appear in J. Dyn. Control Syst..


C. Christopher, J. Llibre, C. Pantazi and S. Walcher.
Inverse problems for multiple invariant curves.
Preprint, 2006. To appear in Proc. Roy. Soc. Edinburgh Sect. A.


A. Cima, J. Llibre and M. Teixeira.
Limit cycles of some polynomial differential systems in dimension 2, 3 and 4, via averaging theory.
Preprint, 2006. To appear in Appl. Anal..


M. Corbera and J. Llibre.
Infinitely many periodic orbits for the octahedral 7-body problem.
Preprint, 2006.


D. Dobrovolschi and J. Llibre.
Suficient conditions for boundedness of the flow of a differential system on $$Rⁿ.
Preprint, 2006.


D. Dobrovolschi and J. Llibre.
Distinguishing between local and non-local dissipativity of vector fields on $$Rⁿ.
Preprint, 2006.


I. García, J. Giné and J. Llibre.
Liénard and Riccati differential equations related via Lie Algebras,.
Preprint, 2006. To appear in Discrete Contin. Dynam. Systems.


J. Guirao and J. Llibre.
The set of periods for the Morse-Smale diffeomorphisms on $$T².
Preprint, 2006.


J. Guirao and J. Llibre.
Periods for the Morse-Smale diffeomorphisms on $$S².
Preprint, 2006. To appear in Colloq. Math..


X. Jarque, J. Llibre and D. Shafer.
Structurally stable quadratic foliations.
Preprint, 2006. To appear in Rocky Mountain J. Math..


C. Li and J. Llibre.
Quadratic perturbations of a quadratic reversible Lotka-Volterra system.
Preprint, 2006.


W. Li, J. Llibre, J. Yang and Z. Zhang.
Limit cycles bifurcating from the period annulus of quasi-homogeneous centers.
Preprint, 2006.


W. Li, J. Llibre and H. Wu.
Polynomial and linearized normal forms for almost periodic differential systems.
Preprint, 2006.


W. Li, J. Llibre and H. Wu.
Reduction of periodic difference systems to linear or autonomous ones.
Preprint, 2006. To appear in Bull. Sci. Math..


J. Llibre and A. Mahdi.
On the number of singular points of the radial projection of polynomial gradient vector fields of $$R³ on the sphere $$S².
Preprint, 2006. To appear in Comm. on Applied Nonlinear Analysis.


J. Llibre and C. Pessoa.
Phase portraits for quadratic homogeneous polynomial vector fields on S².
Preprint, 2006.


J. Llibre and A. A. Tarta.
Periodic orbits for some systems of delay differential equations.
Preprint, 2006. To appear in Acta Math. Sin..


J. Llibre, M. A. Teixeira and J. Torregrosa.
Limit cycles bifurcating from a $$k-dimensional isochronous center contained in $$Rⁿ with $$k≤n.
Preprint, 2006. To appear in Math. Phys. Anal. Geom..


J. Llibre and C. Valls.
Formal and analytic integrability of the Belousov-Zhabotinskii system.
Preprint, 2006.


J. Llibre and C. Valls.
On the limit cycles of polynomial differential systems with homogeneous nonlinearities of degree 3 via the averaging method.
Preprint, 2006. To appear in Dynam. Contin. Discrete Impuls. Systems.


J. Llibre and C. Valls.
Formal and analytical integrability of the Rossler system.
Preprint, 2006.


J. Llibre and C. Valls.
Centers for polynomial vector fields of arbitrary degree.
Preprint, 2006.


J. Llibre and H. Wu.
Hopf bifurcation for degenerate singular points of multiplicity 2n-1 in dimension 3.
Preprint, 2006. To appear in Bull. Sci. Math..


J. Llibre and J. Yang.
A classical family of polynomial Abel differential equations satisfying the composition conjecture.
Preprint, 2006.


A. Cima, J. Llibre and J. Medrado.
New families of centers for polynomial vector fields of arbitrary degree.
Preprint, 2005. To appear in Comm. on Applied Nonlinear Analysis.


C. Gutierrez, X. Jarque, J. Llibre and M. Teixeira.
Global injectivity of $$C¹ maps of the real plane, inseparable leaves and the palais-smale condition.
Preprint, 2005. To appear in Canad. J. Math..


S. Kaplan, E. Lacomba and J. Llibre.
Symbolic dynamics of the elliptic rectilinear restricted 3-body problem.
Preprint, 2005.


J. Llibre, E. P. Chavela and J. Bernat.
On the planar central configurations of the $$4-body problem with three equal masses.
Preprint, 2005.


J. Llibre, J. Medrado and P. da Silva.
Limit cycles for singular perturbation problems via inverse integrating factor.
Preprint, 2005.


J. Llibre and P. da Silva.
Singularly perturbed quadratic polynomial differential systems on the plane.
Preprint, 2005.


J. Llibre and A. A. Tarta.
Hopf bifurcation of a delay differential equation with two delays.
Preprint, 2005.


J. Llibre and R. Ortega.
On the families of periodic orbits of the Sitnikov problem.
Preprint, 2004. To appear in SIAM J. Appl. Dyn. Syst..


J. Llibre and C. Pantazi.
Polynomial differential systems having a given Darboux integrating factor.
Preprint, 2004.


M. Alvarez, J. Delgado and J. Llibre.
On the spatial central configurations of the 5-body problem and their bifurcations.
Preprint, 2003.


J. Llibre and A. Sá.
Minimal set of periods for continuous self-maps of a bouquet of circles.
Preprint, 2002. To appear in Internat. J. Bifur. Chaos Appl. Sci. Engrg..

J. C. Artés, J. Llibre and J. C. Medrado.
Nonexistence of limit cycles for a class of structurally stable quadratic vector fields.
Discrete Contin. Dynam. Systems, 17 no. 2 pp. 259–270, 2007.


A. Buica and J. Llibre.
Limit cycles of a perturbed cubic polynomial differential center.
Chaos Solitons Fractals, 32 no. 3 pp. 1059–1069, 2007.
[MR2286546]


A. Buica, J.-P. Françoise and J. Llibre.
Periodic solutions of nonlinear periodic differential systems with a small parameter.
Commun. Pure Appl. Anal., 6 no. 1 pp. 103–111, 2007.


C. A. Buzzi, J. Llibre and J. Medrado.
Periodic orbits for a class of reversible quadratic vector field on R³.
J. Math. Anal. Appl., 335 pp. 1335–1346, 2007.


C. Buzzi, J. Llibre and P. da Silva.
On the dynamics of the Bianchi IX system.
J. Phys. A, 40 pp. 7187–7192, 2007.


L. Cairó and J. Llibre.
Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 2.
Nonlinear Anal., Ser. A: Theory Methods, 67 no. 2 pp. 327–348, 2007.


L. Cairó and J. Llibre.
Phase portraits of cubic polynomial vector fields of lotka–volterra type having a rational first integral of degree 2.
J. Phys. A, 40 pp. 6329–6348, 2007.


L. Cairo and J. Llibre.
Polynomial first integrals for weight–homogeneous planar polynomial differential systems of weight degree 3.
J. Math. Anal. Appl., 331 no. 2 pp. 1284–1298, 2007.


X. Chen, J. Llibre and Z. Zhang.
Sufficient conditions for the existence of at least n or exactly n limit cycles for the lienard differential systems.
J. Differential Equations, 242 pp. 11–23, 2007.


C. Christopher, J. Llibre and J. V. Pereira.
Multiplicity of invariant algebraic curves in polynomial vector fields.
Pacific J. Math., 229 no. 1 pp. 63–117, 2007.
[MR2276503]


A. Ferragut and J. Llibre.
On the remarkable values of the rational first integrals of polynomial vector fields.
J. Differential Equations, 241 pp. 399–417, 2007.


A. Ferragut, J. Llibre and A. Mahdi.
Polynomial inverse integrating factors for polynomial vector fields.
Discrete Contin. Dynam. Systems, 17 no. 2 pp. 387–395, 2007.


A. Ferragut, J. Llibre and M. A. Teixeira.
Hyperbolic periodic orbits from the bifurcation of a 4-dimensional non-linear center.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 17 no. 6 pp. 2159–2167, 2007.


A. Ferragut, J. Llibre and M. A. Teixeira.
Periodic orbits for a class of $$C¹ three-dimensional systems.
Rend. Circ. Mat. Palermo (2), 56 no. 1 pp. 101–115, 2007.
[MR2313775]


H. Giacomini, J. Giné and J. Llibre.
Corrigendum to: ''The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems'' [J. Differential Equations bf 227 (2006), no. 2, 406–426; mr2237674].
J. Differential Equations, 232 no. 2 pp. 702, 2007.
[MR2286396]


J. Giné and J. Llibre.
Limit cycles of cubic polynomial vector fields via the averaging theory.
Nonlinear Anal., Ser. A: Theory Methods, 66 pp. 1707–1721, 2007.


V. Jiménez and J. Llibre.
A topological characterization of the w-limit sets for analytic flows on the plane, the sphere and the projective plane.
Adv. Math., 216 no. 2 pp. 677–710, 2007.


J. Llibre, C. A. Buzzi and P. da Silva.
3-dimensional Hopf bifurcation via averaging theory.
Discrete Contin. Dynam. Systems, 17 no. 3 pp. 529–540, 2007.


J. Llibre and J. C. Medrado.
On the invariant hyperplanes for d-dimensional polynomial vector fields.
J. Phys. A, 40 pp. 8385–8391, 2007. Preprint.


J. Llibre and M. Messias.
Large amplitude oscillations for a class of symmetric polynomial differential systems in $$R³.
An. Acad. Brasil. Ci., 79 no. 4 pp. 1–13, 2007.


J. Llibre and D. Pasca.
Periodic orbits near a heteroclinic loop formed by one dimensional orbit and a 2-dimensional manifold: application to the charged collinear 3-body problem.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 17 no. 6 pp. 2175–2183, 2007.


J. Llibre and D. Pacsca.
Erratum to: ''Periodic orbits of the planar collision restricted 3-body problem'' [Celestial Mech. Dynam. Astronom. bf 96 (2006), no. 1, 19–29; mr2270801].
Celestial Mech. Dynam. Astronom., 98 no. 3 pp. 217, 2007.
[MR2339587]


J. Llibre, E. Ponce and A. E. Teruel.
Horseshoes near homoclinic orbits for piecewise linear differential systems in $$R^3.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 17 no. 4 pp. 1171–1184, 2007.


J. Llibre, P. da Silva and M. A. Teixeira.
Regularization of discontinouous vector fields on $$R³ via singular perturbation.
Journal of Dynamics and Differential Equations, 19 no. 2 pp. 309–331, 2007.


J. Llibre and G. Swirszcz.
Classification of quadratic systems admitting the existence of an algebraic limit cycle.
Bull. Sci. Math., 131 no. 5 pp. 405–421, 2007.
[MR2337734]


J. Llibre and A. A. Tarta.
Periodic solutions for some systems of delay differential equations.
Journal of Dynamics and Differential Equations, 19 no. 1 pp. 199–213, 2007.


J. Llibre and M. Teixeira.
Global asymptotic stability for a class of discontinuous vector fields in $$R².
Dynamical Systems: An International Journal, 22 no. 2 pp. 133–146, 2007.


J. Llibre and C. Valls.
Global analytic first integrals for the real planar Lotka-Volterra system.
J. Math. Phys., 48 no. 3 pp. 033507, 13, 2007.
[MR2314506]


J. Llibre and C. Valls.
On the integrability of the Einstein-Yang-Mills equations.
J. Math. Anal. Appl., 336 no. 2 pp. 1203–1230, 2007.


J. Llibre and J. Yu.
Limit cycles for a class of three dimensional polynomial differential systems.
J. Dyn. Control Syst., 13 no. 4 pp. 531–539, 2007.


J. C. Artés, J. Llibre and D. Schlomiuk.
The geometry of quadratic differential systems with a weak focus of second order.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 16 no. 11 pp. 3127–3194, 2006.


F. Balibrea, J. L. G. Guirao, M. Lampart and J. Llibre.
Dynamics of a Lotka-Volterra map.
Fund. Math., 191 no. 3 pp. 265–279, 2006.


J. Chavarriga, B. García, J. Llibre, J. S. Pérez del Río and J. A. Rodríguez.
Polynomial first integrals of quadratic vector fields.
J. Differential Equations, 230 no. 2 pp. 393–421, 2006.


J. Chavarriga, I. Garcia, J. Llibre and H. Zoladek.
Invariant algebraic curves for the cubic Liénard system with linear damping.
Bull. Sci. Math., 130 no. 5 pp. 428–441, 2006.
[MR2247692]


F. Chen, C. Li, J. Llibre and Z. Zhang.
A unified proof on the weak Hilbert's 16th problem for $$n=2.
J. Differential Equations, 221 no. 2 pp. 309–342, 2006.


G. Chen, C. Li, C. Liu and J. Llibre.
The cyclicity of period annuli of some classes of reversible quadratic systems.
Discrete Contin. Dynam. Systems, 16 no. 1 pp. 157–177, 2006.
[MR2221741 (2007a:34046)]


M. Corbera and J. Llibre.
Symmetric periodic orbits near a heteroclinic loop at infinity for a class of polynomial vector fields.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 16 no. 11 pp. 3401–3410, 2006.


M. Corbera and J. Llibre.
Infinitely many periodic orbits for the rhomboidal 5-body problem.
J. Math. Phys., 47 pp. 1–13, 2006.


M. Corbera, J. Llibre and E. Perez-Chavela.
Symmetric periodic orbits near a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2.
J. Physics A:Math. and Gen., 39 no. 50 pp. 1–14, 2006.


F. Dumortier, J. Llibre and J. C. Artés.
Qualitative theory of planar differential systems.
Universitext. Springer-Verlag, Berlin, 2006.
[MR2256001]

B. Garcia, J. Llibre and J. P. del Río.
Phase portraits of the quadratic vector fields with a polynomial first integral.
Rend. Circ. Mat. Palermo (2), 55 pp. 420–440, 2006.


R. Garcia, J. Llibre and J. Sotomayor.
Lines of principal curvature on canal surfaces in $$R³.
An. Acad. Brasil. Ci., 78 no. 3 pp. 405–415, 2006.
[MR2252736]


H. Giacomini, J. Giné and J. Llibre.
The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems.
J. Differential Equations, 227 no. 2 pp. 406–426, 2006.
[MR2237674]


J. Giné and J. Llibre.
Integrability, degenerate centers and limit cycles for a class of polynomial differential systems.
Comput. Math. Appl., 51 no. 9-10 pp. 1453–1462, 2006.
[MR2237642]


J. Llibre.
Una reflexió sobre el racó de l'univers on vivim i la seva relació amb un instant crucial de la història.
Materials matemàtics, 2006 no. 16 pp. 1–13, 2006. (In Catalan).


J. Llibre and M. Misiurewicz.
Negative periodic orbits for graph maps.
Nonlinearity, 19 no. 3 pp. 741–746, 2006.
[MR2209297]


J. Llibre and C. Pessoa.
Homogeneous polynomial vector fields of degree 2 on the 2 dimensional sphere.
Extracta Math., 21 no. 2 pp. 167–190, 2006.


J. Llibre and C. Pessoa.
Invariant circles for homogeneous polynomial vector fields on the $$2-dimensional sphere.
Rend. Circ. Mat. Palermo (2), 55 no. 1 pp. 63–81, 2006.
[MR2239098]


J. Llibre and G. Swirszcz.
Relationships between limit cycles and algebraic invariant curves for quadratic systems.
J. Differential Equations, 229 no. 2 pp. 529–537, 2006.
[95a:58071]


J. Llibre and A. A. Tarta.
Periodic solutions of delay equations with three delays via bi-Hamiltonian systems.
Nonlinear Anal., Ser. A: Theory Methods, 64 no. 11 pp. 2433–2441, 2006.


J. Llibre and M. A. Teixeira.
Limit cycles for a mechanical system coming from the perturbation of a four-dimensional linear center.
Journal of Dynamics and Differential Equations, 18 no. 4 pp. 931–941, 2006.


J. Llibre and C. Valls.
Formal and analytical integrability of the Bianchi IX system.
J. Math. Phys., 47 no. 2 pp. 022704, 15, 2006.
[MR2208153]


J. Llibre and N. Vulpe.
Planar cubic polynomial differential systems with the maximum number of invariant straight lines.
Rocky Mountain J. Math., 36 pp. 1301–1373, 2006. Preprint.


M. Alvarez, M. Corbera, J. Delgado and J. Llibre.
The number of planar central configurations for the 4-body problem is finite when 3 mass positions are fixed.
Proc. Amer. Math. Soc., 133 no. 2 pp. 529–536, 2005.
[MR2093077]


J. C. Artés, J. Llibre and N. Vulpe.
Singular points of quadratic systems: a complete classification in the coefficient space R^12.
Houston J. Math., 76 no. 1 pp. 1–84, 2005.


A. Buica and J. Llibre.
Bifurcation of limit cycles from a four-dimensional center in control systems.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 15 no. 8 pp. 2653–2662, 2005.
[MR2174572]


C. Christopher, J. Llibre and G. Swirszcz.
Invariant algebraic curves of large degree for quadratic systems.
J. Math. Anal. Appl., 303 no. 2 pp. 450–461, 2005.
[MR2122228]


D. Dobrovolschi and J. Llibre.
Boundedness, invariant algebraic surfaces and global dynamics for a spectral model of large-scale atmospheric circulation.
J. Math. Phys., 46 no. 7 pp. 1–20, 2005.
[MR2153553]


J. Giné and J. Llibre.
A family of isochronous foci with Darbouxian first integral.
Pacific J. Math., 218 no. 2 pp. 343–356, 2005.


J. Giné and J. Llibre.
Darboux integrability and limit cycles for a class of polynomial differential systems.
In Differential equations with symbolic computation, Trends Math., pp. 55–65. Birkhäuser, Basel, 2005.
[MR2187373]


X. Jarque, J. Llibre and D. S. Shafer.
Structural stability of planar polynomial foliations.
J. Dynam. Differential Equations, 17 no. 3 pp. 573–587, 2005.
[MR2165559]


J. Llibre.
Càcul de longituds, àees i volums comptant punts.
Mem. R. Academia de Ciencias y Artes de Barcelona, 52 no. 3 pp. 95–113, 2005.

J. Llibre and J. C. Medrado.
Darboux integrability and reversible quadratic vector fields.
Rocky Mountain J. Math., pp. 1999–2058, 2005.


J. Llibre and C. Pantazi.
Counterexample to a conjecture on the algebraic limit cycles of polynomial vector fields.
Geom. Dedicata, 110 no. 1 pp. 213–219, 2005.
[MR2136027]


J. Llibre and D. Pasca.
Periodic orbits of the planar collision restricted 3-body problem.
Celestial Mech. Dynam. Astronom., 96 no. 1 pp. 19–29, 2005.


J. Llibre and E. Perez-Chavela.
Transversal homoclinic orbits in the collinear restricted three body problem.
J. Nonlinear Sci., 15 no. 1 pp. 1–10, 2005.
[MR2130269]


J. Llibre and E. Perez-Chavela.
An application of the Melnikov integral to a restricted three body problem.
In Symmetry and perturbation theory. Proceedings of the International Conference on SPT 2004, pp. 175–182. World Scientific, 2005.


J. Llibre and M. Todd.
Periods for holomorphic maps via Lefschetz numbers.
Abstract and Applied Analysis, 6 pp. 575-579, 2005.


J. Llibre and M. Todd.
Periods, Lefschetz numbers and entropy for a class of maps on a bouquet of circles.
J. Difference Equ. Appl., 11 no. 12 pp. 1049–1069, 2005.
[MR2179503]


J. Llibre and C. Valls.
Formal and analytic integrability of the Lorenz system.
J. Phys. A, 38 no. 12 pp. 2681–2686, 2005.
[MR2132081]


J. Llibre and C. Valls.
Integrability of the Bianchi IX system.
J. Math. Phys., 46 no. 7 pp. 1–13, 2005.
[MR2153554]


J. Llibre and C. Valls.
Formal and analytic first integrals of the Einstein-Yang-Mills equations.
J. Phys. A, 38 no. 37 pp. 8155–8168, 2005.
[MR2169335]


J. C. Artés, J. Llibre and M. Teixeira.
A universal constant for a semistable limit cycle.
2004.


A. Buica and J. Llibre.
Averaging methods for finding periodic orbits via Brouwer degree.
Bull. Sci. Math., 128 no. 1 pp. 7–22, 2004.


M. Chamberland, J. Llibre and G. Swirszcz.
Weakened markus yamabe conditions for 2-dimensional global asymptotic stability.
Nonlinear Anal., Ser. A: Theory Methods, 59 no. 6 pp. 951–958, 2004.
[MR2096370]


M. Corbera and J. Llibre.
Families of periodic orbits for the spatial isosceles $$3-body problem.
SIAM J. Math. Anal., 35 no. 5 pp. 1311–1346, 2004.
[MR2050202]


M. Corbera, J. Llibre and E. P. Chavela.
Symmetric planar non-collinear relative equilibria for the Lennard-Jones potential 3-body problem with two equal masses.
In Proceedings of the 6th Conference on Celestial Mechanics (Spanish), Monogr. Real Acad. Ci. Exact. Fí s.-Quí m. Nat. Zaragoza, 25, pp. 93–114. Real Acad. Ci. Exact., Fí s. Quí m. Nat. Zar, Zaragoza, 2004.
[MR2106876]


M. Corbera, J. Llibre and E. Pérez-Chavela.
Equilibrium points and central configurations for the Lennard-Jones 2 and 3 body problems.
Celestial Mech. Dynam. Astronom., 89 pp. 235–266, 2004.


M. Corbera, J. Llibre and P. J. Torres.
Global existence of subharmonic orbits in the Sitnikov problem.
2004.


J. M. Cors and J. Llibre.
The global flow of the parabolic restricted three-body problem.
Celestial Mech. Dynam. Astronom., 90 no. 1-2 pp. 13–33, 2004.
[MR2114201]


J. M. Cors, J. Llibre and M. Ollé.
Central configurations of the planar coorbitalsatellite problem.
Celestial Mech. Dynam. Astronom., 89 no. 4 pp. 319–342, 2004.


J. Delgado, E. A. Lacomba and J. Llibre, editors.
New advances in celestial mechanics and Hamiltonian systems.
Kluwer Academic/Plenum Publishers, New York, 2004.
[MR2083001]

M. Falconi, E. A. Lacomba and J. Llibre.
On the parameter dependence of the real cubic surfaces in Arnold's form.
Rend. Circ. Mat. Palermo (2), 53 no. 2 pp. 153–164, 2004.
[MR2078056]


M. Falconi, E. A. Lacomba and J. Llibre.
Location of the real cubic surfaces in the parameter space.
2004.


M. Falconi and J. Llibre.
$$n-1 independent first integrals for linear differential systems in $$Rⁿ and $$Cⁿ.
Qual. Theory Dyn. Syst., 4 no. 2 pp. 233–254, 2004.


J. Giné and J. Llibre.
Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities.
J. Differential Equations, 197 no. 1 pp. 147–161, 2004.
[MR2030152]


C. Li and J. Llibre.
A unified study on the cyclicity of period annulus of the reversible quadratic Hamiltonian systems.
Journal of Dynamics and Differential Equations, 16 no. 2 pp. 271–295, 2004.


W. Li, J. Llibre and X. Zhang.
Melnikov functions for period annulus, nondegenerate centers, heteroclinic and homoclinic cycles.
Pacific J. Math., 213 no. 1 pp. 49–78, 2004.


J. Llibre and M. Ollé.
Horseshoe periodic orbits in the restricted three body problem.
In New advances in celestial mechanics and Hamiltonian systems, pp. 137–152. Kluwer/Plenum, New York, 2004.
[MR2083010]


J. Llibre and C. Pantazi.
Polynomial differential systems having a given Darbouxian first integral.
Bull. Sci. Math., 128 no. 9 pp. 775–788, 2004.


J. Llibre and G. Rodríguez.
Configurations of limit cycles and planar polynomial vector fields.
J. Differential Equations, 198 no. 2 pp. 374–380, 2004.


J. Llibre and D. Schlomiuk.
The geometry of quadratic differential systems with a weak focus of third order.
Canadian J. of Math., 56 no. 2 pp. 310–343, 2004.
[MR2040918]


J. Llibre and A. E. Teruel.
Existence of Poincaré maps in piecewise linear differential systems in $$R^n.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 14 no. 8 pp. 2843–2851, 2004.
[MR2092983]


Ll. Alsedà, S. F. Kolyada, J. Llibre and L. Snoha.
Axiomatic definition of the topological entropy on the interval.
Aequationes Math., 65 pp. 113–132, 2003.
[MR2012405]


J. C. Artés and J. Llibre.
Statistical measure of quadratic vector fields.
Resenhas, 6 no. 1 pp. 85–97, 2003.


L. Cairó, H. Giacomini and J. Llibre.
Liouvillan first integrals for the planar Lotka–Volterra system.
Rend. Circ. Mat. Palermo (2), 52 pp. 389–418, 2003.


J. Chavarriga, H. Giacomini, J. Giné and J. Llibre.
Local analytic integrability for nilpotent centers.
Ergodic Theory Dynam. Systems, 23 no. 2 pp. 417–428, 2003.
[2004c:34079]


J. Chavarriga, H. Giacomini, J. Giné and J. Llibre.
Darboux integrability and the inverse integrating factor.
J. Differential Equations, 194 no. 1 pp. 116–139, 2003.
[MR2001031]


J. Chavarriga, J. Llibre and J. Sorolla.
Algebraic limit cycles of degree 4 for quadratic systems.
J. Differential Equations, 200 no. 2 pp. 206–244, 2003.
[MR2052614]


L. A. Cherkas, J. C. Artés and J. Llibre.
Quadratic systems with limit cycles of normal size.
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, 41 no. 1 pp. 31–46, 2003.
[MR1992648]


M. Corbera and J. Llibre.
Periodic orbits of a collinear restricted three body problem.
Celestial Mech. Dynam. Astronom., 86 no. 2 pp. 163–183, 2003.
[2004c:70015]


H. Giacomini, M. Viano and J. Llibre.
Semistable limit cycles that bifurcate from centers.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 13 no. 11 pp. 3489–3498, 2003.


C. Li, W. Li, J. Llibre and Z. Zhang.
New families of centers and limit cycles for polynomial differential systems with homogeneous nonlinearities.
Ann. Differential Equations, 19 no. 3 pp. 302–317, 2003.
[MR2018297]


W. Li, J. Llibre and X. Zhang.
Local first integrals of differential systems and diffeomorphisms.
Z. Angew. Math. Phys., 54 no. 2 pp. 235–255, 2003.
[2004a:37027]


J. Llibre.
A note on the set of periods of transversal homological sphere self–maps.
J. Difference Equ. Appl., 9 no. 3-4 pp. 417–422, 2003.
[MR1990347]


J. Llibre.
On the degree of the invariant algebraic curves of polynomial differential systems.
In XVIII CEDYA/VIII Congress of Applied Mathematics (Tarragona,2003), p. 8pp. Universitat Rovira i Virgili, 2003.


J. Llibre.
Averaging theory and limit cycles for quadratic systems.
Radovi Matematicki, 11 pp. 215–228, 2003.
[2004c:34115]


J. Llibre.
Integrability of polynomial differential systems.
In Handbook of Differential Equations (Ordinary Differential Equations Volume I), pp. 437–532. Elsevier, Northholland, 2003.


J. Llibre and E. Ponce.
Piecewise linear feedback systems with arbitrary number of limit cycles.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 13 no. 4 pp. 895–904, 2003.
[2004c:34135]


J. Llibre, E. Ponce and X. Zhang.
Existence of piecewise linear differential systems with exactly $$n limit cycles for all $$nN.
Nonlinear Anal., Ser. A: Theory Methods, 54 no. 5 pp. 977–994, 2003.
[MR1992516]


J. Llibre, J. Paraños and J. A. Rodríguez.
Periods for continuous self maps of the figure–eigth space.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 13 no. 7 pp. 1743–1754, 2003.
[MR2015625]


A. Albouy and J. Llibre.
Spatial central configurations for the $$1+4 body problem.
In Celestial mechanics (Evanston, IL, 1999). Contemporary Mathematics, vol. 292, pp. 1–16. Amer. Math. Soc., Providence, RI, 2002.
[MR1884890] [ZBL 01785961]


L. Cairó and J. Llibre.
Darbouxian first integrals and invariants for real quadratic systems having an invariant conic.
J. Physics A:Math. and Gen., 35 no. 3 pp. 589-608, 2002.
[MR1957137]


C. Christopher and J. Llibre.
A family of quadratic polynomial differential systems with invariant algebraic curves of arbitrarily high degree without rational first integrals.
Proc. Amer. Math. Soc., 130 no. 7 pp. 2025–2030, 2002.
[ZBL 0980.34023]


C. Christopher, J. Llibre, C. Pantazi and X. Zhang.
Darboux integrability and invariant algebraic curves for planar polynomial systems.
J. Physics A:Math. and Gen., 35 no. 10 pp. 2457–2476, 2002.
[MR1909404] [ZBL 01781578]


M. Corbera and J. Llibre.
On symmetric periodic orbits of the elliptic Sitnikov problem via the analytic continuation method.
In Celestial mechanics (Evanston, IL, 1999). Contemporary Mathematics, vol. 292, pp. 91–127. Amer. Math. Soc., Providence, RI, 2002.
[MR1884894] [ZBL 01785965]


M. Corbera and J. Llibre.
Symmetric periodic orbits for the collinear $$3–body problem via the continuation method.
In Developments in Mathematical and Experimental Physics, Volume C: Hydrodynamics and Dynamical Systems, pp. 117–141. Kluwer Acad. Publ., Dordrecht, 2002.


A. Gasull, W. Li, J. Llibre and Z. Zhang.
Chebyshev property of complete elliptic integrals and its application to Abelian integrals.
Pacific J. Math., 202 no. 2 pp. 341–361, 2002.
[2002m34046] [ZBL 01818948]


C. Gutierrez and J. Llibre.
Darbouxian integrability for polynomial vector fields on the $$2–dimensional sphere.
Extracta Math., 17 no. 2 pp. 289–301, 2002.
[MR1937306]


E. A. Lacomba, J. Llibre and E. Perez-Chavela.
The generalized Sitnikov problem.
In Celestial mechanics (Evanston, IL, 1999). Contemporary Mathematics, vol. 292, pp. 147–158. Amer. Math. Soc., Providence, RI, 2002.
[2003a:70011] [ZBL 01785967]


C. Li, W. Li, J. Llibre and Z. Zhang.
Linear estimation of the number of zeros of abelian integrals for some cubic isochronous centers.
J. Differential Equations, 180 no. 2 pp. 307–333, 2002.
[MR1894015] [ZBL 01750347]


W. Li, J. Llibre, M. Nicolau and X. Zhang.
On the differentiability of first integrals of two dimensional flows.
Proc. Amer. Math. Soc., 130 no. 7 pp. 2079–2088, 2002.
[ZBL 01725332]


W. Li, J. Llibre and X. Zhang.
Extension of Floquet's theory to nonlinear periodic differential systems and embedding diffeomorphisms in differential flows.
Amer. J. Math., 124 no. 1 pp. 107–127, 2002.
[MR1879001] [ZBL 01731125]


J. Llibre.
Orbites periòdiques dels sistemes hamiltonians amb 2 graus de llibertat via homeomorfismes de superfície.
Memorias de la Real Academia de Ciencias y Artes de Barcelona, LX pp. 1–29, 2002.

J. Llibre, E. Nuñez and A. E. Teruel.
Limit cycles for planar piecewise linear differential systems via first integrals.
Qual. Theory Dyn. Syst., 3 no. 1 pp. 29-50, 2002.
[2003k:34062]


J. Llibre and G. Rodríguez.
Darbouxian integrability of polynomial vector fields with special emphasis on the Two–dimensional surfaces.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 12 no. 12 pp. 2821–2833, 2002.
[MR1956408]


J. Llibre, J. Sotomayor and M. Zhitomirskii.
Impasse bifurcations of constrained systems.
In Differential equations and dynamical systems (Lisbon, 2000), pp. 235–255. Amer. Math. Soc., Providence, RI, 2002.
[MR1904517] [ZBL 01795319]


J. Llibre and X. Zhang.
Darboux integrability for the Rossler system.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 12 no. 2 pp. 421–428, 2002.
[MR1894575]


J. Llibre and X. Zhang.
Darboux integrability of real polynomial vector fields on regular algebraic hypersurfaces.
Rend. Circ. Mat. Palermo (2), 51 no. 1 pp. 109–126, 2002.
[MR1905711]


J. Llibre and X. Zhang.
Invariant algebraic surfaces of the Lorenz system.
J. Math. Phys., 43 no. 3 pp. 1622–1645, 2002.
[MR1885027]


J. Llibre and X. Zhang.
Polynomial first integrals for quasi–homogeneous polynomial differential systems.
Nonlinearity, 15 no. 4 pp. 1269–1280, 2002.
[MR1912294] [ZBL 01803880]


J. Llibre and E. Piña.
Saari's conjecture holds for the planar $$3–body problem.
2002.


M. Viano, J. Llibre and H. Giacomini.
Arbitrary order bifurcations for perturbed Hamiltonian planar systems via the reciprocal of an integrating factor.
Nonlinear Anal., Ser. A: Theory Methods, 48 no. 1 pp. 117–136, 2002.
[MR1868610] [ZBL 01721799]


M. Alvarez and J. Llibre.
Heteroclinic orbits and Bernoulli shift for the elliptic collision restricted three-body problem.
Arch. Ration. Mech. Anal., 156 no. 4 pp. 317–357, 2001.
[2002a:70010] [ZBL 01631998]


J. Chavarriga, H. Giacomini and J. Llibre.
Uniqueness of algebraic limit cycles for quadratic systems.
J. Math. Anal. Appl., 261 no. 1 pp. 85–99, 2001.
[MR1850958] [ZBL 0995.34024]


J. Chavarriga and J. Llibre.
Invariant algebraic curves and rational first integrals for planar polynomial vector fields.
J. Differential Equations, 169 no. 1 pp. 1–16, 2001. Special issue in celebration of Jack K. Hale's 70th birthday, Part 3 (Atlanta, Georgia/Lisbon, 1998).
[2001k:37030] [ZBL 0980.34023]


J. Chavarriga, J. Llibre and J. Moulin Ollagnier.
On a result of Darboux.
LMS J. Comput. Math., 4 pp. 197–21, 2001.
[MR1901357]


A. Cima, J. Li and J. Llibre.
Periodic solutions of delay differential equations with two delay via bi-Hamiltonian systems.
Ann. Differential Equations, 17 no. 3 pp. 205–214, 2001.
[2003a:34111] [ZBL 01691277]


M. Cobo, C. Gutierrez and J. Llibre.
On the injectivity of $$C¹ maps of the real plane.
Canad. J. Math., 54 no. 6 pp. 1187–1201, 2001.
[MR1940235]


M. Corbera and J. Llibre.
Periodic and quasi-periodic orbits for the spatial isosceles three-body problem.
In Third Conference on Celestial Mechanics (Valladolid, 2000), pp. 37–44. Univ. Zaragoza, Zaragoza, 2001.
[2002h:70016]


H. Giacomini, J. Llibre and M. Viano.
The shape of limit cycles that bifurcate from non-Hamiltonian centers.
Nonlinear Anal., Ser. A: Theory Methods, 43 no. 7 pp. 837–859, 2001.
[2001k:37077] [ZBL 01587550]


G. Gómez, J. Llibre, R. Martínez and C. Simó.
Dynamics and mission design near libration points. Vol. I: Fundamentals: The Case of Collinear Libration Points.
World Scientific Monograph Series in Mathematics. World Scientific Publishing Co. Inc., River Edge, NJ, 2001.
[MR1867240] [ZBL 0971.70003]

G. Gómez, J. Llibre, R. Martínez and C. Simó.
Dynamics and mission design near libration points. Vol. II: Fundamentals: The Case of Triangular Libration Points.
World Scientific Monograph Series in Mathematics. World Scientific Publishing Co. Inc., River Edge, NJ, 2001.
[MR1881823] [ZBL 0971.70004]

X. Jarque and J. Llibre.
Polynomial foliations in $$R².
Pacific J. Math., 197 no. 1 pp. 53–72, 2001.
[MR1810208] [ZBL 01589582]


C. Li, W. Li, J. Llibre and Z. Zhang.
Linear estimate of the number of zeros of Abelian integrals for a class of integrable non-Hamiltonian systems.
Nonlinear Anal., Ser. A: Theory Methods, 47 no. 7 pp. 4527-4531, 2001.


C. Li, W. Li, J. Llibre and Z. Zhang.
Polynomial systems: a lower bound for the weakened 16th Hilbert problem.
Extracta Math., 16 no. 3 pp. 441–447, 2001.
[MR1897762]


W. Li, J. Llibre and X. Zhang.
Planar analytic vector fields with generalized rational first integrals.
Bull. Sci. Math., 125 no. 5 pp. 341–361, 2001.
[MR1841872] [ZBL 01624928]


J. Llibre, K. R. Meyer and J. Soler.
Erratum: ''Bridges between the generalized Sitnikov family and the Lyapunov family of periodic orbits'' [J. Differential Equations 154 no. 1, 140–156, 1999[MR 2001g:70016]].
J. Differential Equations, 169 no. 2 pp. 654, 2001.
[MR1808481]

J. Llibre and M. Ollé.
Horseshoe periodic orbits for Saturn coorbital satellites.
In Third Conference on Celestial Mechanics (Valladolid, 2000), pp. 29–36. Univ. Zaragoza, Zaragoza, 2001.
[2002h:70017]


J. Llibre and M. Ollé.
The motion of Saturn coorbital satellites in the restricted three-body problem.
Astronomy & Astrophysics, 378 pp. 1087–1099, 2001.


J. Llibre, J. S. Pérez del Río and J. A. Rodríguez.
Averaging analysis of a perturbated quadratic center.
Nonlinear Anal., Ser. A: Theory Methods, 46 no. 1, Ser. A: Theory Methods pp. 45–51, 2001.
[2002d:34054] [ZBL 0992.34024]


J. Llibre, A. E. Teruel, C. Valls and A. de la Fuente.
Phase portraits of the two-body problem with Manev potential.
J. Physics A:Math. and Gen., 34 no. 9 pp. 1919–1934, 2001.
[2002g:70013]


J. Llibre and X. Zhang.
Invariant algebraic surfaces of the Belousov-Zhabotinskii systems.
Comput. Appl. Math., 20 no. 1-2 pp. 195–219, 2001. Special issue in celebration of M. M. Peixoto's 80th birthday.


J. Llibre and X. Zhang.
On the number of limit cycles for some perturbed Hamiltonian polynomial systems.
Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., 8 no. 2 pp. 161–181, 2001.
[2002a:34041] [ZBL 0992.34021]


J. Llibre and X. Zhang.
Polynomial first integrals of quadratic systems.
Rocky Mountain J. Math., 31, 2001.


J. Llibre and X. Zhang.
Topological phase portraits of planar semi-linear quadratic vector fields.
Houston J. Math., 27 no. 2 pp. 247–296, 2001.
[MR1874098]


Ll. Alsedà, J. Llibre and M. Misiurewicz.
Combinatorial dynamics and entropy in dimension one, 2nd Edition.
World Scientific Publishing Co. Inc., River Edge NJ, 2000.
[2001j:37073] [ZBL 0963.37001]

L. Cairó and J. Llibre.
Darboux integrability for 3D Lotka-Volterra systems.
J. Physics A:Math. and Gen., 33 no. 12 pp. 2395–2406, 2000.
[2001b:34012] [ZBL 0953.34037]


L. Cairó and J. Llibre.
Integrability of the 2D Lotka-Volterra system via polynomial first integrals and polynomial inverse integrating factors.
J. Physics A:Math. and Gen., 33 no. 12 pp. 2407–2417, 2000.
[2001b:34013] [ZBL 0960.34028]


L. Cairó and J. Llibre.
Phase portraits of planar semi-homogeneous vector fields. II.
Nonlinear Anal., Ser. A: Theory Methods, 39 no. 3 pp. 351–363, 2000.
[2000k:34052] [ZBL 0944.34022]


J. Chavarriga, H. Giacomini, J. Llibre and J. Mallol.
Some criteria on the uniqueness of limit cycles in planar polynomial vector fields.
In International Conference on Differential Equations, (Berlin, 1999), vol. 2, pp. 1424–1426. World Sci. Publishing, River Edge, NJ, 2000.
[MR1870343] [ZBL 0965.34018]

C. Christopher and J. Llibre.
Integrability via invariant algebraic curves for planar polynomial differential systems.
Ann. Differential Equations, 16 no. 1 pp. 5–19, 2000.
[2001g:34001] [ZBL 0974.34005]

M. Corbera and J. Llibre.
2-dimensional invariant tori for the spatial isosceles 3-body problem.
In Hamiltonian systems and celestial mechanics (Pátzcuaro, 1998), pp. 63–73. World Sci. Publishing, River Edge NJ, 2000.
[2001m:70012]


M. Corbera and J. Llibre.
Periodic orbits of the Sitnikov problem via a Poincaré map.
Celestial Mech. Dynam. Astronom., 77 no. 4 pp. 273-303, 2000.
[2002a:70007]


M. P. Dantas and J. Llibre.
The global flow for the synodical spatial Kepler problem.
In Hamiltonian systems and celestial mechanics (Pátzcuaro, 1998), pp. 74–89. World Sci. Publishing, River Edge NJ, 2000.
[2002i:70008]

J. Delgado, E. A. Lacomba, E. Pérez-Chavela and J. Llibre, editors.
Hamiltonian systems and celestial mechanics.
World Scientific Publishing Co. Inc., River Edge NJ, 2000. Proceedings of the 3rd International Symposium (HAMSYS-98) held at Pátzcuaro, December 7–11, 1998.
[2001i:70002] [ZBL 0958.00039]

N. Fagella and J. Llibre.
Periodic points of holomorphic maps via Lefschetz numbers.
Trans. Amer. Math. Soc., 352 no. 10 pp. 4711–4730, 2000.
[2001b:55003] [ZBL 0947.55001]


M. Falconi, E. A. Lacomba and J. Llibre.
Infinity manifolds of cubic polynomial Hamiltonian vector fields with 2 degrees of freedom.
In Hamiltonian systems and celestial mechanics (Pátzcuaro, 1998), pp. 138–160. World Sci. Publishing, River Edge NJ, 2000.
[2001m:37110]

A. Gasull, J. Llibre, V. Mañosa and F. Mañosas.
The focus–centre problem for a type of degenerate system.
Nonlinearity, 13 no. 3 pp. 699–729, 2000.
[2001b:34061] [ZBL 0962.34067]


H. Giacomini, J. Llibre and M. Viano.
On the shape of limit cycles that bifurcate from Hamiltonian centers.
Nonlinear Anal., Ser. A: Theory Methods, 41 no. 3-4 pp. 523–537, 2000.
[2001e:34052] [ZBL 0954.34022]


E. A. Lacomba and J. Llibre.
On the dynamics and topology of the elliptic rectilinear restricted $$3-body problem.
Celestial Mech. Dynam. Astronom., 77 no. 1 pp. 1–15, 2000.
[2001j:70008] [ZBL 0960.70010]


C. Li, W. Li, J. Llibre and Z. Zhang.
Linear estimate for the number of zeros of abelian integrals for quadratic isochronous centres.
Nonlinearity, 13 no. 5 pp. 1775–1800, 2000.
[2001i:34050] [ZBL 01529057]


C. Li, W. Li, J. Llibre and Z. Zhang.
On the limit cycles of polynomial differential systems with homogeneous nonlinearities.
Proc. Edinb. Math. Soc., II. Ser., 43 no. 3 pp. 529-543, 2000.
[2002i:34037] [ZBL 0974.34029]

J. Llibre, J. S. Pérez del Río and J. A. Rodríguez.
Phase portraits of a new class of integrable quadratic vector fields.
Dynam. Contin. Discrete Impuls. Systems, 7 no. 4 pp. 595–616, 2000.
[2002b:34050] [ZBL 0980.34022]

J. Llibre, J. S. Pérez del Río and J. A. Rodríguez.
Structural stability of planar semi-homogeneous polynomial vector fields. Applications to critical points and to infinity.
Discrete Contin. Dynam. Systems, 6 no. 4 pp. 809–828, 2000.
[2001h:37044]


J. Llibre and G. Rodríguez.
Invariant hyperplanes and Darboux integrability for $$d-dimensional polynomial differential systems.
Bull. Sci. Math., 124 no. 8 pp. 599–619, 2000.
[2001k:34069] [ZBL 0992.37016]


J. Llibre and X. Zhang.
Invariant algebraic surfaces of the Rikitake system.
J. Physics A:Math. and Gen., 33 no. 42 pp. 7613–7635, 2000.
[2001k:34017] [ZBL 0967.34002]


Ll. Alsedà, S. Kolyada, J. Llibre and L. Snoha.
Entropy and periodic points for transitive maps.
Trans. Amer. Math. Soc., 351 no. 4 pp. 1551–1573, 1999.
[99f:58117] [ZBL 0913.58034]


Ll. Alsedà, J. Llibre and M. Misiurewicz.
Low-dimensional combinatorial dynamics.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 9 no. 9 pp. 1687–1704, 1999.
[2000h:37055]

Ll. Alsedà, J. Llibre and M. Misiurewicz, editors.
Discrete dynamical systems.
World Scientific Publishing Co., Singapore, 1999. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 9 (1999), no. 9.
[2000g:37004] [ZBL 0818.54030]

L. Cairó, J. Chavarriga, J. Giné and J. Llibre.
A class of reversible cubic systems with an isochronous center.
Comput. Math. Appl., 38 no. 11-12 pp. 39–53, 1999.
[2000h:34047] [ZBL 0982.34024]

L. Cairó, M. R. Feix and J. Llibre.
Darboux method and search of invariants for the Lotka-Volterra and complex quadratic systems.
J. Math. Phys., 40 no. 4 pp. 2074–2091, 1999.
[2000a:34073] [ZBL 0986.34032]


L. Cairó, M. R. Feix and J. Llibre.
Integrability and algebraic solutions for planar polynomial differential systems with emphasis on the quadratic systems.
Resenhas, 4 no. 2 pp. 127–161, 1999.
[2000m:34065]

L. Cairó and J. Llibre.
Integrability and algebraic solutions for the 2-D Lotka-Volterra system.
In Dynamical systems, plasmas and gravitation (Orléans la Source, 1997), pp. 243–254. Springer, Berlin, 1999.
[2000g:34009]

J. Chavarriga, H. Giacomini, J. Giné and J. Llibre.
On the integrability of two-dimensional flows.
J. Differential Equations, 157 no. 1 pp. 163–182, 1999.
[2000h:37058] [ZBL 0940.37005]

C. Christopher and J. Llibre.
Algebraic aspects of integrability for polynomial systems.
Qual. Theory Dyn. Syst., 1 no. 1 pp. 71–95, 1999.
[2001b:34060]

A. Cima, J. Li and J. Llibre.
Area preserving flows on compact connected surfaces.
In Dynamical systems, plasmas and gravitation (Orléans la Source, 1997), pp. 313–319. Springer, Berlin, 1999.
[2000g:37045]


M. C. Leseduarte and J. Llibre.
On the full periodicity kernel for one-dimensional maps.
Ergodic Theory Dynam. Systems, 19 no. 1 pp. 101–126, 1999.
[2000d:37044] [ZBL 0938.37025]

J. Llibre, K. R. Meyer and J. Soler.
Bridges between the generalized Sitnikov family and the Lyapunov family of periodic orbits.
J. Differential Equations, 154 no. 1 pp. 140–156, 1999.
[2001g:70016] [ZBL 0940.34024]

J. Llibre and A. Nunes.
Minimum number of fixed points for maps of the figure eight space.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 9 no. 9 pp. 1795–1802, 1999.
[2001b:55006]

J. Llibre, J. Paraños and J. A. Rodríguez.
Sets of periods for maps on connected graphs with zero Euler characteristic having all branching points fixed.
J. Math. Anal. Appl., 239 no. 1 pp. 85–100, 1999.
[2000h:37056] [ZBL 0965.37035]

J. Llibre and E. Ponce.
Bifurcation of a periodic orbit from infinity in planar piecewise linear vector fields.
Nonlinear Anal., Ser. A: Theory Methods, 36 no. 5, Ser. B: Real World Appl. pp. 623–653, 1999.
[2000b:34060] [ZBL 01279346]

Ll. Alsedà, J. Llibre and M. Misiurewicz.
Badly ordered cycles of circle maps.
Pacific J. Math., 184 no. 1 pp. 23–41, 1998.
[2000e:37042] [ZBL 0930.37020]


M. Alvarez and J. Llibre.
Restricted three-body problems and the non-regularization of the elliptic collision restricted isosceles three-body problem.
Extracta Math., 13 no. 1 pp. 73–94, 1998.
[2000a:70011] [ZBL 0983.70519]

J. C. Artés, B. Grünbaum and J. Llibre.
On the number of invariant straight lines for polynomial differential systems.
Pacific J. Math., 184 no. 2 pp. 207–230, 1998.
[99f:34035] [ZBL 0930.34022]


J. C. Artés, R. E. Kooij and J. Llibre.
Structurally stable quadratic vector fields.
Mem. Amer. Math. Soc., 134 no. 639 pp. viii+108, 1998.
[98m:34053] [ZBL 0991.34049]

J. Bernat and J. Llibre.
Hurwitz systems with periodic orbits. Counterexamples to Kalman and Markus-Yamabe conjectures.
In International Conference on Differential Equations (Lisboa, 1995), pp. 39–58. World Sci. Publishing, River Edge NJ, 1998.
[MR1639315] [ZBL 0962.34041]

J. Chavarriga and J. Llibre.
On the algebraic limit cycles of quadratic systems.
In IV Catalan Days of Applied Mathematics (Tarragona, 1998), pp. 17–24. Univ. Rovira Virgili, Tarragona, 1998.
[99b:34057] [ZBL 0902.34023]

B. Jiang and J. Llibre.
Minimal sets of periods for torus maps.
Discrete Contin. Dynam. Systems, 4 no. 2 pp. 301–320, 1998.
[99j:58159] [ZBL 0965.37019]


J. Llibre.
Algebraic solutions and integrability for planar polynomial differential systems.
In IV Catalan Days of Applied Mathematics (Tarragona, 1998), pp. 81–88. Univ. Rovira Virgili, Tarragona, 1998.
[99c:34052] [ZBL 0913.34031]

J. Llibre.
Integrability and algebraic solutions for planar polynomial differential systems.
In XV CEDYA/V Congress on Applied Mathematics (Vigo, 1997), pp. 45–51. Univ. Vigo, Vigo, 1998.
[99e:34032] [ZBL 0947.34502]

J. Llibre, J. Paraños and J. A. Rodríguez.
Periods for transversal maps on compact manifolds with a given homology.
Houston J. Math., 24 no. 3 pp. 397–407, 1998.
[2000d:57046] [ZBL 0958.55002]

J. Llibre, L. Pizarro and E. Ponce.
Limit cycles of polynomial Liénard systems. Comment on: ''Number of limit cycles of the Liénard equation'' [Phys. Rev. E (3) 56 (1997), no. 4, 3809–3813; MR 98f:34035] by H. Giacomini and S. Neukirch.
Phys. Rev. E (3), 58 no. 4 pp. 5185–5187, 1998.
[99h:34048]

J. Llibre and G. Rodríguez.
On a class of cubic planar polynomial foliations.
Dynam. Contin. Discrete Impuls. Systems, 4 no. 1 pp. 67–97, 1998.
[98j:34089] [ZBL 0901.34032]

J. Llibre and J. Sotomayor.
Structural stability of constrained polynomial systems.
Bull. London Math. Soc., 30 no. 6 pp. 589–595, 1998.
[99h:58101] [ZBL 0930.34036]

J. Llibre and J. Villadelprat.
A Poincaré index formula for surfaces with boundary.
Differential Integral Equations, 11 no. 1 pp. 191–199, 1998.
[99a:57025] [ZBL 01452492]


D. L. Maranh~ao and J. Llibre.
Ejection-collision orbits and invariant punctured tori in a restricted four-body problem.
Celestial Mech. Dynam. Astronom., 71 no. 1 pp. 1–14, 1998.
[2000a:70016] [ZBL 0951.70008]


Ll. Alsedà, S. Baldwin, J. Llibre and M. Misiurewicz.
Entropy of transitive tree maps.
Topology, 36 no. 2 pp. 519–532, 1997.
[98f:54031] [ZBL 0887.58013]


J. C. Artés, B. Grünbaum and J. Llibre.
On the invariant straight lines of polynomial differential systems.
Differ. Equ. Dyn. Syst., 5 no. 3-4 pp. 317–327, 1997. Planar nonlinear dynamical systems (Delft, 1995).
[99j:34029] [ZBL 0903.34027]

J. C. Artés and J. Llibre.
Quadratic vector fields with a weak focus of third order.
Publ. Mat., 41 no. 1 pp. 7–39, 1997.
[98h:34052] [ZBL 0880.34031]


L. Cairó and J. Llibre.
Phase portraits of planar semi-homogeneous vector fields. I.
Nonlinear Anal., Ser. A: Theory Methods, 29 no. 7 pp. 783–811, 1997.
[98e:34048] [ZBL 0886.34026]

J. Chavarriga and J. Llibre, editors.
Simposium on planar vector fields.
Universitat Autònoma de Barcelona, Barcelona, 1997. Publ. Mat. Vol 41(1).
[ZBL 0878.00057]

J. Chavarriga, J. Llibre and J. Sotomayor.
Algebraic solutions for polynomial systems with emphasis in the quadratic case.
Expo. Math., 15 no. 2 pp. 161–173, 1997.
[98h:34053] [ZBL 0895.34029]

J. Guaschi and J. Llibre.
Orders and periods of algebraically-finite surface maps.
Houston J. Math., 23 no. 3 pp. 449–483, 1997.
[2000c:37053] [ZBL 0901.58042]

J. Llibre.
On the algebraic solutions of polynomial systems.
Boletin de la Sociedad Matemática de Matemática Aplicada, 10 pp. 8–13, 1997.

J. Llibre and E. Ponce.
Hopf bifurcation from infinity for planar control systems.
Publ. Mat., 41 no. 1 pp. 181–198, 1997.
[98g:34070] [ZBL 0883.34043]


J. Llibre and M. A. Teixeira.
Regularization of discontinuous vector fields in dimension three.
Discrete Contin. Dynam. Systems, 3 no. 2 pp. 235–241, 1997.
[98c:58085] [ZBL 0989.37011]


J. C. Artés and J. Llibre.
On the number of slopes of invariant straight lines for polynomial differential systems.
Nanjing Daxue Xuebao Shuxue Bannian Kan, 13 no. 2 pp. 143–149, 1996.
[98h:34051] [ZBL 0887.34040]

J. C. Artés and J. Llibre.
Corrigendum: ''Quadratic Hamiltonian vector fields'' [J. Differential Equations 107 (1994), no. 1, 80–95; [MR 95a:58071]].
J. Differential Equations, 129 no. 2 pp. 559–560, 1996.
[MR1404393] [ZBL 0858.34042]

J. Bernat and J. Llibre.
Counterexample to Kalman and Markus-Yamabe conjectures in dimension larger than 3.
Dynam. Contin. Discrete Impuls. Systems, 2 no. 3 pp. 337–379, 1996.
[98c:34079] [ZBL 0889.34047]

J. M. Cors and J. Llibre.
Qualitative study of the hyperbolic collision restricted three-body problem.
Nonlinearity, 9 no. 5 pp. 1299–1316, 1996.
[97e:70015] [ZBL 0928.70021]

J. M. Cors and J. Llibre.
Qualitative study of the parabolic collision restricted three-body problem.
In Hamiltonian dynamics and celestial mechanics (Seattle, WA, 1995), pp. 1–19. Amer. Math. Soc., Providence RI, 1996.
[98a:70006] [ZBL 0867.70008]

W. Dicks and J. Llibre.
Orientation-preserving self-homeomorphisms of the surface of genus two have points of period at most two.
Proc. Amer. Math. Soc., 124 no. 5 pp. 1583–1591, 1996.
[96g:55004] [ZBL 0853.55001]

H. Giacomini, J. Llibre and M. Viano.
On the nonexistence, existence and uniqueness of limit cycles.
Nonlinearity, 9 no. 2 pp. 501–516, 1996.
[97a:34073] [ZBL 0886.58087]

S. R. Kaplan, R. Cushman, S. Hu, J. Llibre, C. McCord, D. G. Saari and Z. Xia.
Directions of Hamiltonian dynamics and celestial mechanics.
In Hamiltonian dynamics and celestial mechanics (Seattle, WA, 1995), pp. 229–240. Amer. Math. Soc., Providence RI, 1996.
[97g:58059] [ZBL 0871.58042]

E. A. Lacomba and J. Llibre, editors.
New trends for Hamiltonian systems and celestial mechanics.
World Scientific Publishing Co. Inc., River Edge NJ, 1996. Papers of the 2nd International Symposium on Hamiltonian Systems and Celestial Mechanics held in Cocoyoc, September 13–17, 1994.
[2000m:37003] [ZBL 0963.00030]

C. Leseduarte and J. Llibre.
The full periodicity kernel of the trefoil.
Ann. Inst. Fourier (Grenoble), 46 no. 1 pp. 219–262, 1996.
[MR1385516] [ZBL 0834.54024]

J. Llibre, J. S. Pérez del Río and J. A. Rodríguez.
Structural stability of planar homogeneous polynomial vector fields: applications to critical points and to infinity.
J. Differential Equations, 125 no. 2 pp. 490–520, 1996.
[97a:34139] [ZBL 0848.34037]

J. Llibre and E. Ponce.
Global first harmonic bifurcation diagram for odd piecewise linear control systems.
Dynam. Stability Systems, 11 no. 1 pp. 49–88, 1996.
[97m:93041] [ZBL 0855.93037]

J. Llibre and J. Sotomayor.
Phase portraits of planar control systems.
Nonlinear Anal., Ser. A: Theory Methods, 27 no. 10 pp. 1177–1197, 1996.
[97j:34037] [ZBL 0858.93037]

J. Llibre and J. Waldvogel.
Qualitative behaviour of the flow of the $$n-body problem in the zero energy level.
In New trends for Hamiltonian systems and celestial mechanics (Cocoyoc, 1994), pp. 275–288. World Sci. Publishing, River Edge NJ, 1996.
[MR1753022]

Ll. Alsedà, S. Baldwin, J. Llibre, R. Swanson and W. Szlenk.
Minimal sets of periods for torus maps via Nielsen numbers.
Pacific J. Math., 169 no. 1 pp. 1–32, 1995.
[96f:55001] [ZBL 0843.55004]

Ll. Alsedà, F. Balibrea, J. Llibre and M. Misiurewicz, editors.
Thirty years after Sharkovskii 's theorem: new perspectives.
World Scientific Publishing Co. Inc., River Edge NJ, 1995. Reprint of Internat. J. Bifur. Chaos Appl. Sci. Engrg. 5 (1995), no. 5 [MR 96e:58002].
[97d:58006] [ZBL 0897.58001]

Ll. Alsedà, F. Balibrea, J. Llibre and M. Misiurewicz, editors.
Thirty Years after Sharkovskii's Theorem: New Perspectives.
World Scientific Publishing Co., Singapore, 1995. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 5 (1995), no. 5.
[96e:58002]

S. Baldwin and J. Llibre.
Periods of maps on trees with all branching points fixed.
Ergodic Theory Dynam. Systems, 15 no. 2 pp. 239–246, 1995.
[96e:58126] [ZBL 0831.58020]

J. Casasayas, J. Llibre and A. Nunes.
Period points for transversal maps.
Math. Proc. Camb. Phil. Soc., 118 pp. 161–181, 1995.

J. Casasayas, J. Llibre and A. Nunes.
Periodic orbits of transversal maps.
Math. Proc. Cambridge Philos. Soc., 118 no. 1 pp. 161–181, 1995.
[96c:58138] [ZBL 0839.58044]

A. Cima, A. Gasull, J. Llibre and F. Mañosas.
Global injectivity of polynomial maps via vector fields.
In Automorphisms of affine spaces (Curac cao, 1994), pp. 105–123. Kluwer Acad. Publ., Dordrecht, 1995.
[97c:14012] [ZBL 0834.58006]


J. M. Cors and J. Llibre.
Chaos in the hyperbolic restricted 3-body problem.
In From Newton to chaos (Cortina d'Ampezzo, 1993), pp. 315–318. Plenum, New York, 1995.
[MR1390781] [ZBL 0875.70072]

J. M. Cors and J. Llibre.
The global flow of the hyperbolic restricted three-body problem.
Arc h. Rational Mech. Anal., 131 no. 4 pp. 335–358, 1995.
[96h:70014] [ZBL 0837.70007]

J. Delgado, E. Lacomba, J. Llibre and E. Pérez-Chavela.
Models for explaining the structure of saturn's f ring.
CAM94 Physics Meeting in Cancun, AIP Conference Proceedings 342, Amer. Instit. of Physics, pp. 506–513, 1995.

J. Delgado, E. A. Lacomba, J. Llibre and E. Pérez.
Poincaré compactification of Hamiltonian polynomial vector fields.
In Hamiltonian dynamical systems (Cincinnati, OH, 1992), pp. 99–114. Springer, New York, 1995.
[96h:58056] [ZBL 0838.58035]

C. Gillot and J. Llibre.
Periods for maps of the figure-eight space.
In Thirty years after Sharkovskii's theorem: new perspectives (Murcia, 1994), pp. 95–106. World Sci. Publishing, River Edge NJ, 1995. Reprint of the paper reviewed in [MR 97d:58161].
[MR1415885] [ZBL 0889.54032]

C. Gillot and J. Llibre.
Periods for maps of the figure-eight space.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 5 no. 5 pp. 1357–1368, 1995.
[97d:58161]

J. Guaschi and J. Llibre.
Periodic points of $$C¹ maps and the asymptotic Lefschetz number.
In Thirty years after Sharkovskii's theorem: new perspectives (Murcia, 1994), pp. 107–111. World Sci. Publishing, River Edge NJ, 1995. Reprint of the paper reviewed in [MR 96k:58178].
[MR1415886]

J. Guaschi and J. Llibre.
Periodic points of $$C¹ maps and the asymptotic Lefschetz number.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 5 pp. 1369–1373, 1995.
[96k:58178] [ZBL 0886.58094]

A. Guillamon, X. Jarque, J. Llibre, J. Ortega and J. Torregrosa.
Periods for transversal maps via Lefschetz numbers for periodic points.
Trans. Amer. Math. Soc., 347 no. 12 pp. 4779–4806, 1995.
[96c:58140] [ZBL 0846.58045]


X. Jarque and J. Llibre.
Global structural stability of planar Hamiltonian vector fields.
In Hamiltonian dynamical systems (Cincinnati, OH, 1992), pp. 171–180. Springer, New York, 1995.
[96g:58100] [ZBL 0836.58024]

M. C. Leseduarte and J. Llibre.
On the set of periods for $$ maps.
Trans. Amer. Math. Soc., 347 no. 12 pp. 4899–4942, 1995.
[96c:58142] [ZBL 0868.54035]

C. Li, J. Llibre and Z. Zhang.
Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line.
Publ. Mat., 39 no. 2 pp. 355–366, 1995.
[96i:58146] [ZBL 0856.58033]


C. Z. Li, J. Llibre and Z. F. Zhang.
Weak focus, limit cycles, and bifurcations for bounded quadratic systems.
J. Differential Equations, 115 no. 1 pp. 193–223, 1995.
[95j:34045] [ZBL 0823.34043]

J. Llibre.
Some conjectures on planar polynomial vector fields and straight lines.
In 2nd Catalan Days on Applied Mathematics (Odeillo, 1995), pp. 183–187. Presses Univ. Perpignan, Perpignan, 1995.
[99b:34060] [ZBL 0909.34029]

J. Llibre, J. Paraños and J. A. Rodríguez.
On the extension of Sharkovskii's theorem to connected graphs with non-positive Euler characteristic.
In Thirty years after Sharkovskii's theorem: new perspectives (Murcia, 1994), pp. 133–143. World Sci. Publishing, River Edge NJ, 1995. Reprint of the paper reviewed in [MR 97c:58039].
[MR1415889]

J. Llibre, J. Paraños and J. A. Rodríguez.
On the extension of Sharkovskii's theorem to connected graphs with non-positive Euler characteristic.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 5 no. 5 pp. 1395–1405, 1995.
[97c:58039] [ZBL 0886.58028]

J. Llibre and D. G. Saari.
Periodic orbits for the planar Newtonian three-body problem coming from the elliptic restricted three-body problems.
Trans. Amer. Math. Soc., 347 no. 8 pp. 3017–3030, 1995.
[96d:70013] [ZBL 0847.70011]

J. C. Artés and J. Llibre.
Phase portraits for quadratic systems having a focus and one antisaddle.
Rocky Mountain J. Math., 24 no. 3 pp. 875–889, 1994.
[95i:34046] [ZBL 0814.34020]

J. C. Artés and J. Llibre.
Quadratic Hamiltonian vector fields.
J. Differential Equations, 107 no. 1 pp. 80–95, 1994.
[95a:58071] [ZBL 0791.34048]

E. Belbruno, J. Llibre and M. Ollé.
On the families of periodic orbits which bifurcate from the circular Sitnikov motions.
Celestial Mech. Dynam. Astronom., 60 no. 1 pp. 99–129, 1994.
[96d:70016] [ZBL 0818.70011]

J. Casasayas, J. Llibre and A. Nunes.
Central configurations of the planar $$1+n-body problem.
Celestial Mech. Dynam. Astronom., 60 no. 2 pp. 273–288, 1994.
[95j:70012] [ZBL 0821.70007]

J. Casasayas, J. Llibre and A. Nunes.
Periods and Lefschetz zeta functions.
Pacific J. Math., 165 no. 1 pp. 51–66, 1994.
[95j:58137] [ZBL 0821.58035]

J. Delgado, E. A. Lacomba, J. Llibre and E. Pérez.
Poincaré compactification of the Kepler and the collinear three-body problems.
In Seminar on Dynamical Systems (St. Petersburg, 1991), pp. 117–128. Birkhauser, Basel, 1994.
[95c:70005] [ZBL 0815.70010]

X. Jarque and J. Llibre.
Structural stability of planar Hamiltonian polynomial vector fields.
Proc. London Math. Soc. (3), 68 no. 3 pp. 617–640, 1994.
[94k:58077] [ZBL 0798.34058]


J. Llibre and A. Nunes.
Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations.
Mem. Amer. Math. Soc., 107 no. 513 pp. viii+191, 1994.
[94f:58045] [ZBL 0922.70012]

J. Llibre, J. Paraños and J. A. Rodríguez.
The full periodicity kernel for $$ maps.
J. Math. Anal. Appl., 183 no. 3 pp. 639–651, 1994.
[95c:58142] [ZBL 0807.58039]

J. Llibre and A. Sá.
Periods for continuous self-maps of a bouquet of circles.
C. R. Acad. Sci. Paris Sér. I Math., 318 no. 11 pp. 1035–1040, 1994.
[95g:58177] [ZBL 0806.58026]

J. Llibre and J. Soler.
An analytic estimation for the instability interval near second order resonances in the restricted three-body problem.
Z. Angew. Math. Phys., 45 no. 6 pp. 956–977, 1994.
[95j:70011] [ZBL 0820.70011]

Ll. Alsedà, S. Baldwin, J. Llibre, R. Swanson and W. Szlenk.
Torus maps and Nielsen numbers.
In Nielsen theory and dynamical systems (South Hadley, MA, 1992), pp. 1–7. Amer. Math. Soc., Providence RI, 1993.
[MR1243466] [ZBL 0804.54032]

Ll. Alsedà and J. Llibre.
Periods for triangular maps.
Bull. Austral. Math. Soc., 47 no. 1 pp. 41–53, 1993.
[93m:58033] [ZBL 0793.26005]

Ll. Alsedà, J. Llibre and M. Misiurewicz.
Combinatorial dynamics and entropy in dimension one.
World Scientific Publishing Co. Inc., River Edge NJ, 1993.
[95j:58042] [ZBL 0843.58034]

J. Casasayas, J. Llibre and A. Nunes.
Lefschetz zeta functions and forced set of periods.
In Nielsen theory and dynamical systems (South Hadley, MA, 1992), pp. 23–32. Amer. Math. Soc., Providence RI, 1993.
[MR1243468] [ZBL 0826.54034]

J. Delgado, E. A. Lacomba, J. Llibre and E. Pérez.
Poincaré compactification of the collinear three-body problem.
In Hamiltonian systems and celestial mechanics (Guanajuato, 1991), pp. 85–100. World Sci. Publishing, River Edge NJ, 1993.
[97i:70017] [ZBL 0900.70159]

J.-M. Gambaudo and J. Llibre.
A note on the periods of surface homeomorphisms.
J. Math. Anal. Appl., 177 no. 2 pp. 627–632, 1993.
[94k:58111] [ZBL 0810.58029]

J. Gambaudo and J. Llibre.
A note on the set of periods of surface homeomorphisms.
J. Math. Anal. and Appl., 177 pp. 627–632, 1993.

E. A. Lacomba and J. Llibre, editors.
Hamiltonian systems and celestial mechanics.
World Scientific Publishing Co. Inc., River Edge NJ, 1993. Proceedings of the International Symposium held in Guanajuato, September 30–October 4, 1991.
[96f:70003] [ZBL 0858.00042]

J. Llibre.
A note on the set of periods for Klein bottle maps.
Pacific J. Math., 157 no. 1 pp. 87–93, 1993.
[94a:58162] [ZBL 0832.55003]

J. Llibre.
Bounded polynomial vector fields. II [MR 93m:58088].
In Dynamical systems (Tianjin, 1990/1991), pp. 126–136. World Sci. Publishing, River Edge NJ, 1993.
[MR1343758] [ZBL 0943.37501]

J. Llibre.
Lefschetz numbers for periodic points.
In Nielsen theory and dynamical systems (South Hadley, MA, 1992), pp. 215–227. Amer. Math. Soc., Providence RI, 1993.
[94g:55002] [ZBL 0793.58030]

J. Llibre.
Periodic orbits of periodic differential systems.
In International Conference on Differential Equations (Barcelona, 1991), pp. 177–184. World Sci. Publishing, River Edge NJ, 1993.
[94i:58161] [ZBL 0938.37503]

J. Llibre.
Periodic solutions for periodic differential systems.
In International Conference on Differential Equations (Equadiff-91), pp. 177–184. World Scientific, 1993.

J. Llibre and M. Misiurewicz.
Horseshoes, entropy and periods for graph maps.
Topology, 32 no. 3 pp. 649–664, 1993.
[94k:58113] [ZBL 0787.54021]

J. Llibre and J. Soler.
Global flow of the rotating Kepler problem.
In Hamiltonian systems and celestial mechanics (Guanajuato, 1991), pp. 125–140. World Sci. Publishing, River Edge NJ, 1993.
[96f:70019] [ZBL 0900.70160]

J. Llibre and R. Swanson.
Periodic points for transversal maps on surfaces.
Houston J. Math., 19 no. 3 pp. 395–403, 1993.
[94h:55003] [ZBL 0787.55002]

C. Alsina, J. Llibre, C. Mira, C. Simó, G. Targonski and R. Thibault, editors.
European Conference on Iteration Theory.
World Scientific Publishing Co. Inc., Singapore, 1992. Proceedings of the conference (ECIT '91) held in Lisbon, Portugal, September 15–21, 1991.
[ZBL 0905.00062]

J. Casasayas, J. Llibre and A. Nunes.
Algebraic properties of the Lefschetz zeta function, periodic points and topological entropy.
Publ. Mat., 36 no. 2A pp. 467–472 (1993), 1992.
[94i:58159] [ZBL 0777.58030]

E. A. Lacomba and J. Llibre.
Integrals, invariant manifolds, and degeneracy for central force problems in $$Rⁿ.
J. Math. Phys., 33 no. 6 pp. 2138–2147, 1992.
[93d:70016] [ZBL 0765.70010]

J. Llibre and R. S. MacKay.
Pseudo-Anosov homeomorphisms on a sphere with four punctures have all periods.
Math. Proc. Cambridge Philos. Soc., 112 no. 3 pp. 539–549, 1992.
[93h:58120] [ZBL 0783.58058]

J. Franks and J. Llibre.
Periods of surface homeomorphisms.
In Continuum theory and dynamical systems (Arcata, CA, 1989), pp. 63–77. Amer. Math. Soc., Providence RI, 1991.
[92j:58085] [ZBL 0737.58048]

A. Gasull, J. Llibre and J. Sotomayor.
Global asymptotic stability of differential equations in the plane.
J. Differential Equations, 91 no. 2 pp. 327–335, 1991.
[92j:34102] [ZBL 0732.34045]


J. Guaschi, J. Llibre and R. S. MacKay.
A classification of braid types for periodic orbits of diffeomorphisms of surfaces of genus one with topological entropy zero.
Publ. Mat., 35 no. 2 pp. 543–558, 1991.
[94c:58156] [ZBL 0761.54026]

J. Guaschi, J. Llibre and R. MacKay.
Classification of braid types for periodic orbits of diffeomorphisms of surfaces of genus one with topological entropy zero.
Publicacions Matemàtiques, 35 pp. 543–558, 1991.

E. A. Lacomba, J. Llibre and A. Nunes.
Invariant tori and cylinders for a class of perturbed Hamiltonian systems.
In The geometry of Hamiltonian systems (Berkeley, CA, 1989), pp. 373–385. Springer, New York, 1991.
[92i:58158] [ZBL 0742.58021]

J. Llibre.
Bounded polynomial vector fields. II.
In XII CEDYA/II Congress on Applied Mathematics (Oviedo, 1991), pp. 49–59. Univ. Oviedo, Oviedo, 1991.
[93m:58088]

J. Llibre.
On the number of central configurations in the $$n-body problem.
Celestial Mech. Dynam. Astronom., 50 no. 1 pp. 89–96, 1991.
[92g:70011] [ZBL 0724.70016]

J. Llibre.
Periodic points of one-dimensional maps.
In European Conference on Iteration Theory (Batschuns, 1989), pp. 194–198. World Sci. Publishing, River Edge NJ, 1991.
[93g:58119]

J. Llibre and R. S. MacKay.
Rotation vectors and entropy for homeomorphisms of the torus isotopic to the identity.
Ergodic Theory Dynam. Systems, 11 no. 1 pp. 115–128, 1991.
[92b:58184] [ZBL 0699.58049]

J. Llibre and P. Mumbrú.
Extending the ^*-product operator.
In European Conference on Iteration Theory (Batschuns, 1989), pp. 199–214. World Sci. Publishing, River Edge NJ, 1991.
[93f:58125]

J. Llibre and P. Mumbrú.
On sizes and shapes of lattice figures.
Internat. J. Math. Ed. Sci. Tech., 22 no. 3 pp. 365–386, 1991.
[92b:52024] [ZBL 0743.51013]

A. Nunes, J. Casasayas and J. Llibre.
A perturbation of the relativistic Kepler problem.
In Predictability, stability, and chaos in $$n-body dynamical systems (Cortina d'Ampezzo, 1990), pp. 547–554. Plenum, New York, 1991.
[93k:70011]

C. Alsina and J. Llibre.
On the length, area and volume of lattice figures.
Rad. Mat., 6 no. 1 pp. 177–180, 1990.
[91f:52028] [ZBL 0705.51019]

A. Cima and J. Llibre.
Algebraic and topological classification of the homogeneous cubic vector fields in the plane.
J. Math. Anal. Appl., 147 no. 2 pp. 420–448, 1990.
[91c:58125] [ZBL 0711.34061]


A. Cima and J. Llibre.
Bounded polynomial vector fields.
Trans. Amer. Math. Soc., 318 no. 2 pp. 557–579, 1990.
[90g:58083] [ZBL 0695.34028]


B. Coll and J. Llibre.
Limit cycles for a quadratic system with an invariant straight line and some evolution of phase portraits.
In Qualitative theory of differential equations (Szeged, 1988), pp. 111–123. North-Holland, Amsterdam, 1990.
[91j:34037] [ZBL 0701.34040]

A. Gasull and J. Llibre.
Limit cycles for a class of Abel equations.
SIAM J. Math. Anal., 21 no. 5 pp. 1235–1244, 1990.
[91e:34036] [ZBL 0732.34025]

J. Llibre and R. S. MacKay.
A classification of braid types for diffeomorphisms of surfaces of genus zero with topological entropy zero.
J. London Math. Soc. (2), 42 no. 3 pp. 562–576, 1990.
[92a:57019] [ZBL 0725.58036]

J. Llibre and C. Piñol.
On the elliptic restricted three-body problem.
Celestial Mech. Dynam. Astronom., 48 no. 4 pp. 319–345, 1990.
[92f:70006]

J. Llibre and C. Piñol.
On the spatial elliptic restricted three–body problem.
Celestial Mechanics, 48 pp. 319–345, 1990.

Ll. Alsedà and J. Llibre.
Kneading theory of Lorenz maps.
In Dynamical systems and ergodic theory (Warsaw, 1986), pp. 83–89. PWN, Warsaw, 1989.
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Ll. Alsedà, J. Llibre, F. Mañosas and M. Misiurewicz.
Topological entropy for circle maps of degree one.
In European Conference on Iteration Theory (Caldes de Malavella, 1987), pp. 382–391. World Sci. Publishing, Teaneck NJ, 1989.
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Ll. Alsedà, J. Llibre and M. Misiurewicz.
Periodic orbits of maps of $$Y.
Trans. Amer. Math. Soc., 313 no. 2 pp. 475–538, 1989.
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Ll. Alsedà, J. Llibre, M. Misiurewicz and C. Tresser.
Periods and entropy for Lorenz-like maps.
Ann. Inst. Fourier (Grenoble), 39 no. 4 pp. 929–952, 1989.
[91e:58146] [ZBL 0678.34047]

C. Alsina, J. Llibre, C. Mira, C. Simó, G. Targonski and R. Thibault, editors.
European Conference on Iteration Theory, (ECIT '87).
World Scientific Publishing Co. Inc., Teaneck NJ, 1989. Proceedings of the conference held in Caldes de Malavella, September 20–26, 1987.
[91h:58002] [ZBL 0947.39500]

M. Carbonell and J. Llibre.
Hopf bifurcation, averaging methods and Liapunov quantities for polynomial systems with homogeneous nonlinearities.
In European Conference on Iteration Theory (Caldes de Malavella, 1987), pp. 145–160. World Sci. Publishing, Teaneck NJ, 1989.
[92m:34087]

M. Carbonell and J. Llibre.
Limit cycles of polynomial systems with homogeneous nonlinearities.
J. Math. Anal. Appl., 142 no. 2 pp. 573–590, 1989. With the collaboration of Bartomeu Coll.
[91d:58205] [ZBL 0678.34029]

M. Carbonell and J. Llibre.
Chordal cubic systems.
Publ. Mat., 33 no. 2 pp. 253–311, 1989.
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F. Cedó and J. Llibre.
Symmetric central configurations of the spatial $$n-body problem.
J. Geom. Phys., 6 no. 3 pp. 367–394, 1989.
[91e:70031] [ZBL 0685.70009]

A. Cima and J. Llibre.
Configurations of fans and nests of limit cycles for polynomial vector fields in the plane.
J. Differential Equations, 82 no. 1 pp. 71–97, 1989.
[90m:58167] [ZBL 0703.34040]


A. Cima and J. Llibre.
On the configurations of limit cycles for polynomial vector fields in the plane.
In European Conference on Iteration Theory (Caldes de Malavella, 1987), pp. 416–420. World Sci. Publishing, Teaneck NJ, 1989.
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B. Coll, A. Gasull and J. Llibre.
Uniqueness of limit cycles for a class of Liénard systems with applications.
J. Math. Anal. Appl., 141 no. 2 pp. 442–450, 1989.
[90i:34048] [ZBL 0681.34032]


J. Llibre and P. Mumbrú.
Renormalisation and periodic structure for bimodal maps.
In European Conference on Iteration Theory (Caldes de Malavella, 1987), pp. 253–262. World Sci. Publishing, Teaneck NJ, 1989.
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J. Llibre and C. Piñol.
Transversal ejection-collision orbits for the restricted three-body problem.
In European Conference on Iteration Theory (Caldes de Malavella, 1987), pp. 263–270. World Sci. Publishing, Teaneck NJ, 1989.
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Ll. Alsedà, J. Llibre, F. Mañosas and M. Misiurewicz.
Lower bounds of the topological entropy for continuous maps of the circle of degree one.
Nonlinearity, 1 no. 3 pp. 463–479, 1988.
[89m:58119] [ZBL 0663.54023]


M. Carbonell and J. Llibre.
Limit cycles of a class of polynomial systems.
Proc. Roy. Soc. Edinburgh Sect. A, 109 no. 1-2 pp. 187–199, 1988.
[89i:58120] [ZBL 0664.34039]

A. Chenciner and J. Llibre.
A note on the existence of invariant punctured tori in the planar circular restricted three-body problem.
Ergodic Theory Dynamical Systems, 8^* pp. 63–72, 1988. Charles Conley Memorial Issue.
[90i:58175] [ZBL 0657.70016]

B. Coll, A. Gasull and J. Llibre.
Quadratic systems with a unique finite rest point.
Publ. Mat., 32 no. 2 pp. 199–259, 1988.
[90g:58110] [ZBL 0674.34027]

W. Flury, G. Gómez, J. Llibre, R. Martínez, J. Rodríguez-Canabal and C. Simó.
Relative motion near the triangular libration points in the earth-moon system.
European Space Agency, 1988.

A. Gasull and J. Llibre.
On the nonsingular quadratic differential equations in the plane.
Proc. Amer. Math. Soc., 104 no. 3 pp. 793–794, 1988.
[90f:58141] [ZBL 0692.34047]


G. Gómez, J. Llibre and J. Masdemont.
Homoclinic and heteroclinic solutions in the restricted three-body problem.
Celestial Mech., 44 no. 3 pp. 239–259, 1988.
[90d:70023] [ZBL 0674.70019]

E. A. Lacomba and J. Llibre.
Transversal ejection-collision orbits for the restricted problem and the Hill's problem with applications.
J. Differential Equations, 74 no. 1 pp. 69–85, 1988.
[89g:70008] [ZBL 0661.70022]

A. Chenciner, A. Gasull and J. Llibre.
Une description complète du portrait de phase d'un modèle d'élimination résonante.
C. R. Acad. Sci. Paris Sér. I Math., 305 no. 13 pp. 623–626, 1987.
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A. Cima and J. Llibre.
A global theorem about the indices of the singularities of a polynomial field on the plane.
In IX CEDYA (Valladolid, 1986), pp. 259–261. Univ. Valladolid, Valladolid, 1987.


B. Coll, A. Gasull and J. Llibre.
Some theorems on the existence, uniqueness, and nonexistence of limit cycles for quadratic systems.
J. Differential Equations, 67 no. 3 pp. 372–399, 1987.
[88c:34038] [ZBL 0616.34028]


A. Gasull, J. Llibre and J. Sotomayor.
Further considerations on the number of limit cycles of vector fields of the form $$X(v)=Av+f(v)Bv.
J. Differential Equations, 68 no. 1 pp. 36–40, 1987.
[88i:58147] [ZBL 0625.34024]


A. Gasull, J. Llibre and J. Sotomayor.
Limit cycles of vector fields of the form $$X(v)=Av+f(v)Bv.
J. Differential Equations, 67 no. 1 pp. 90–110, 1987.
[88d:34038] [ZBL 0642.34022]


G. Gómez, J. Llibre, R. Martínez, J. Rodríguez-Canabal and C. Simó.
On the optimal station keeping control on halo orbits.
Acta Astronautica, 15 pp. 391–397, 1987.

G. Gómez, J. Llibre, R. Martínez, J. Rodríguez-Canabal and C. Simó.
On/Off control of a spacecraft near an unstable Halo orbit.
J. of European Space Agency, 1987.

J. Llibre.
Structure of the set of periods for the Lorenz map.
In Dynamical systems and bifurcation theory (Rio de Janeiro, 1985), pp. 277–293. Longman Sci. Tech., Harlow, 1987.
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J. Llibre and C. Piñol.
A gravitational approach to the titius–bode law.
The Astronomical J., 93 pp. 1272–1279, 1987.

A. Gasull, L. R. Sheng and J. Llibre.
Chordal quadratic systems.
Rocky Mountain J. Math., 16 no. 4 pp. 751–782, 1986.
[88b:34038] [ZBL 0609.34040]

G. Gómez, J. Llibre, R. Martínez and C. Simó.
Station keeping of a quasi–periodic halo orbit using invariant manifolds.
Spacecraft Flight Dynamics, ESA SP, 255 pp. 65–70, 1986.

Ll. Alsedà and J. Llibre.
Orbites périodiques minimales des applications continues du cercle dans lui-même ayant un point fixe.
C. R. Acad. Sci. Paris Sér. I Math., 301 no. 11 pp. 601–604, 1985.
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Ll. Alsedà and J. Llibre.
A note on the set of periods for continuous maps of the circle which have degree one.
Proc. Amer. Math. Soc., 93 no. 1 pp. 133–138, 1985.
[86f:58131] [ZBL 0562.54064]

Ll. Alsedà, J. Llibre, M. Misiurewicz and C. Simó.
Twist periodic orbits and topological entropy for continuous maps of the circle of degree one which have a fixed point.
Ergodic Theory Dynam. Systems, 5 no. 4 pp. 501–517, 1985.
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Ll. Alsedà, J. Llibre, M. Misiurewicz and C. Simó.
Twist periodic orbits and topological entropy for continuous maps of the circle of degree one which have a fixed point.
In VII CEDYA (Granada, 1984), pp. 1–6. Univ. Granada, Granada, 1985.
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A. Cima and J. Llibre.
Homogeneous cubic systems in the plane.
In VII CEDYA (Granada, 1984), pp. 97–103. Univ. Granada, Granada, 1985.
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B. Coll, A. Gasull and J. Llibre.
On quadratic systems with a unique finite singularity.
In VII CEDYA (Granada, 1984), pp. 111–117. Univ. Granada, Granada, 1985.
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A. Gasull, L. R. Sheng and J. Llibre.
Chordal quadratic systems.
In VII CEDYA (Granada, 1984), pp. 169–174. Univ. Granada, Granada, 1985.
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J. Llibre.
La integrabilitat de les equacions de la mecànica.
Butlletí de la Secció de Matemàtiques de la Soc. Catalana de Ciaeencies, 18 pp. 43–50, 1985.

J. Llibre.
The integrability of the equations of mechanics.
Butl. Sec. Mat., 18 pp. 43–50, 1985.
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J. Llibre and J. Martínez Alfaro.
Ejection and collision orbits of the spatial restricted three-body problem.
Celestial Mech., 35 no. 2 pp. 113–128, 1985.
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J. Llibre, R. Martínez and C. Simó.
Tranversality of the invariant manifolds associated to the Lyapunov family of periodic orbits near $$L_2 in the restricted three-body problem.
J. Differential Equations, 58 no. 1 pp. 104–156, 1985.
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C. Piñol and J. Llibre.
Collision and ejection orbits in the elliptic spatial restricted three-body problem.
In VII CEDYA (Granada, 1984), pp. 335–340. Univ. Granada, Granada, 1985.
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Ll. Alsedà and J. Llibre.
Minimal periodic orbits for continuous maps of the circle having a fixed point.
In Minimal periodic orbits for continuous maps of the circle having a fixed point, vol. 52. Universitat Autònoma de Barcelona, 1984.

Ll. Alsedà, J. Llibre and R. Serra.
Minimal periodic orbits for continuous maps of the interval.
Trans. Amer. Math. Soc., 286 no. 2 pp. 595–627, 1984.
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J. Casasayas and J. Llibre.
Classes of motion in the anisotropic Kepler problem.
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J. Casasayas and J. Llibre.
Qualitative analysis of the anisotropic Kepler problem.
M em. Amer. Math. Soc., 52 no. 312 pp. viii+115, 1984.
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Celestial mechanics in the works of Poincaré.
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On the extendable regular integrals of the $$n-body problem.
J. Differential Equations, 54 no. 2 pp. 221–230, 1984.
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G. Gómez and J. Llibre.
Capture/escape boundary orbits in the collinear restricted three body problem.
In Dynamical trapping and evolution in the solar system, pp. 325–338. Reidel, 1983.

M. Grau, J. Llibre and R. Ros.
On the periodic orbits of the contopoulos hamiltonian.
Lecture Notes in Physics, 179 pp. 284–286, 1983.

Ll. Alsedà, J. Llibre and R. Serra.
Bifurcations for a circle map family associated with the van der Pol equation.
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Invariant manifolds associated to homothetic orbits in the $$n-body problem.
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J. Llibre and A. Reventós.
On the structure of the set of periodic points of a continuous map of the interval with finitely many periodic points.
Arch. Math. (Basel), 39 no. 4 pp. 331–334, 1982.
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J. Llibre and A. Reventós.
Sur le nombre d'orbites périodiques d'une application continue du cercle en lui-même.
C. R. Acad. Sci. Paris Sér. I Math., 294 no. 1 pp. 51–54, 1982.
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G. Gómez and J. Llibre.
A note on a conjecture of Poincaré.
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J. Llibre.
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J. Llibre and A. Reventós.
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J. Llibre and A. Reventós.
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Sobre el nombre de punts fixos per a una aplicació d'un graf connex finit.
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J. Llibre and C. Simó.
Estudio cualitativo del movimiento de sitnikov.
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J. Llibre and C. Simó.
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Qualitative study of the Sitnikov problem.
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El tangram de los ocho elementos.
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J. Llibre.
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G. Gómez, J. Llibre and C. Simó.
Excitación resonante de un péndulo.
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J. Llibre and C. Simó.
Topología del problema de 3 cuerpos: caso plano y caso restringido.
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J. Llibre and C. Simó.
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