混沌与非线性思维（2学分）

课程编号：

任课教师：陈立群等

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：线性和非线性系统，虫口模型中的周期和混沌，混沌的物理概念，混沌的直观几何，混沌的分形几何，混沌的数值识别，分岔进入混沌的路径，大气模型中的分岔和混沌，混沌的控制、反控制和同步化，广泛存在的混沌和非线性思维

先修课程：高等数学(非必需)、普通物理(非必需)?

Chaos and Nonlinear Thinking (2 Credits)

Code：

Instructor: Li-Qun Chen etc.

Objectives:

Introduce the 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.

Content:

linear or nonlinear systems, periods and chaos in the logistic map, physical concept of chaos, intuitionistic geometry of chaos, fractal geometry of chaos, numerical identification of chaos, bifurcation routs to chaos, bifurcations and chaos in the Lornetz system, control, anticontrol and synchronization of chaos, diversified chaos and nonlinear thinking  

Prerequisite：Advanced Mathematics (optional), General Physics (optional)