混沌与非线性思维（2学分）

课程编号：0100L604

任课教师：陈立群

课程目标：

介绍混沌基本概念及其研究历史，强调非线性系统的本质特性，使得学生能从非线性思维的角度观察、分析和理解自然和社会中的不可预测和不确定现象。

课程内容：

本课程以较为轻松的方式阐述混沌的科学概念和文化影响，以帮助学生了解非线性动力学的基本知识。非线性不仅作为数学模型，也作为思维模式。本课程也以直观的方式介绍非线性动力学中的其它关键概念，即分形和分岔，并强调它们与混沌的关联性。

教材或讲义或主要参考书：

主要参考书

[1] LA Smith. Chaos: a very short introduction. Oxford University Press, 2007  

[2] J 格莱克(张淑誉译). 混沌: 开创新科学. 上海译文出版社, 1990

[3] EN 洛伦兹(刘式达等译). 混沌的本质. 北京: 气象出版社, 1997

[4] D 吕埃勒(刘式达等译). 机遇与混沌. 上海科技教育出版社, 2005

[5] I 斯图尔特(潘涛译). 上帝掷骰子吗？----混沌之数学. 上海远东出版社, 1995

[6] P Smith. Explaining Chaos. Cambridge University Press, 1998

先修课程（研讨课、通识课可不填）：

建议选课对象：

备注：

Chaos with Nonlinear Thinking (2 Credits)

Code: 0100L604

Instructor(s):Li-Qun Chen

Objectives:

Introducethe basic concepts of chaos with the historical evolution and highlight the essential characteristics of nonlinear systems, so that the students can observe, analyze, and understand unpredictable and uncertain phenomena in the natural or the society via nonlinear thinking.

Contents:

To help students to acquaint themselves with elementary nonlinear dynamics as a part of general knowledge, the course elucidates the scientific interpretations and the cultural imparts of chaos in an informal way. Meanwhile, nonlinearity is treated not only as mathematical models but also as thinking patterns. Other key concepts of nonlinear dynamics relevant to chaos, namely fractal and bifurcation, are intuitionally introduced, and their relevance with chaos are highlighted.