亮哥近日整理了他的计算MSF的程序（fortran），科学网的各位有需要的话可以email我 ryang8@asu.edu

为第一时间给您回复，请尽量有英文。。谢谢理解了。。

其中文献1可以是一个非常好的工具，上面研究了几乎所有的非线性系统，研究对于不同类型的coupling，不同大小的coupling strength，其对主稳定函数以及同步性能的影响。

Master-stability functions
MSFs are fundamental to the study of synchronization in complex dynamical
systems. For example, for a coupled oscillator network, a necessary condition for synchronization to occur is
that the MSF at the corresponding normalized coupling parameters be negative. To understand the typical
behaviors of the MSF for various chaotic oscillators is key to predicting the collective dynamics of a network
of these oscillators. We address this issue by examining, systematically, MSFs for known chaotic oscillators.
Our computations and analysis indicate that it is generic for MSFs being negative in a finite interval of a
normalized coupling parameter. A general scheme is proposed to classify the typical behaviors of MSFs into
four categories. These results are verified by direct simulations of synchronous dynamics on networks of actual
coupled oscillators.

References:

L. Huang, Q.-F. Chen, Y.-C. Lai, and L. M. Pecora, ``Generic behavior of master-stability functions in coupled nonlinear dynamical systems,'' Physical Review E 80, 036204 (2009).

R. Yang, L. Huang, and Y.-C. Lai, ``Transient disorder in dynamically growing networks,'' Physical Review E 79, 046101 (2009).

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