一类四维Like-Bao混沌系统的动力学分析

Dynamic Analysis of A Class of Four Dimensional Like-Bao Chaotic Systems

基于三维经典混沌系统,构建了一类四维Like-Bao混沌系统。利用理论分析和数值计算等仿真手段,对系统的平衡点做了简要的稳定性分析,并利用Matlab分析系统的分岔图、Lyapunov指数以及相图,结果表明,随着典型参数的变化系统呈现周期性、拟周期性、混沌动力学行为,表明了参数变化对系统的敏感性。

Based on the three dimensional classical chaotic system, a class of four dimensional Like-Bao chaotic systems is constructed. By theoretical analysis and numerical simulation method, the paper did a brief stability analysis on the equilibrium point of the system, and then uses Matlab analysis system to analysis the bifurcation diagram, Lyapunov exponent and phase diagram of the system. The results show that with the change of the typical parameters is periodic, quasi periodic and chaotic dynamical behavior, which indicates that the sensitivity of parameters on the system.