摘要
构造了一个结构简单的三维连续自治系统,利用理论分析和相图、Lyapunov指数谱和分岔图等非线性动力学分析方法,研究了该自治系统的一些基本动力学特性.分析结果表明,当参数变化时该系统表现出丰富的动力学行为.最后研究了该自治系统的控制和同步问题,并给出了数值模拟结果.
A simple structure three-dimensional continuous autonomous system is constructed.Some basic dynamical properties of the system are analyzed by means of theoretical analysis and nonlinear techniques,such as phase diagram,Lyapunov exponent spectrum and bifurcation diagram.Results show that the system has abundant dynamical behaviors when the parameter varies.Finally,chaos controll and synchronization of the autonomous system are also studied and the numerical simulation results are given.
出处
《淮阴师范学院学报（自然科学版）》
CAS
2011年第5期418-422,共5页
Journal of Huaiyin Teachers College;Natural Science Edition
关键词
新自治系统
相图
LYAPUNOV指数谱
分岔图
new autonomous system
phase diagram
lyapunov exponents spectrum
bifurcation diagram
