一个含指数项的新自治混沌系统的动力学分析  

Dynamical analysis of a new autonomous chaotic system with exponential term

作　　者：高智中[1] 

机构地区：[1]安徽科技学院理学院,安徽凤阳233100

出　　处：《华中师范大学学报（自然科学版）》2013年第3期312-315,共4页Journal of Central China Normal University：Natural Sciences

基　　金：安徽省高校省级优秀青年人才基金项目(2012SQRL146)

摘　　要：构造了一个新的结构简单的三维连续自治混沌系统,该系统含有两个参数和两个非线性项.利用Matlab软件给出了系统处于混沌态时的相图、时间历程、功率谱、Poincaré映射、Lyapunov指数和分形维数.通过Lyapunov指数谱和分岔图分析了系统参数对该系统的影响.研究结果证实了该系统是新混沌系统,揭示了该系统具有丰富的动力学特性.This paper constructs a new simple three-dimensional continuous autonomous chaotic system which has two parameters and two nonlinear terms. The phase portraits, time history, the power spectrum, the Poincare mapping, the Lyapunov exponents and fractal dimension of the system operating on chaotic state are given by Matlab software. The influence of system parameters on the chaotic system is discussed through Lya- punov exponents spectrum and bifurcation diagram. The results confirm that the system is a new chaotic system and reveal the system has rich dynamical behaviors.

关 键 词：指数项 分岔 LYAPUNOV指数谱 混沌 

分 类 号：N941.7[自然科学总论—系统科学]