非线性问题在科学和工程中起着重要的作用。本课程的主要目的是帮助工程和力学专业博士研究生掌握非线性动力学的相关概念和方法及应用。本课程主要内容包括： 动力学系统的定性理论，混沌及其数值识别，分岔理论，混沌的同步与控制。 本课程所授方法和观点能应用于科学和工程中较广范围的非线性动力学现象的研究。

The nonlinear problems have played and will continue to play important roles in science and engineering. The main purpose of this course is to help doctor student in engineering and mechanics to have a good command of the basic concepts and methods in nonlinear dynamics. The main contents in this course includes : qualitative theory in dynamical system, chaos and its numerical recognition, bifurcation theory, the synchronization and control of chaos。The presentation of a variety of methods and viewpoints can be used in the study of a fairly broad spectrum of nonlinear dynamical phenomena in science and engineering.