一个新四维混沌系统的分岔分析  

Bifurcation analysis in a novel four-dimensional chaotic system

作　　者：杜文举[1] 俞建宁[1] 张建刚[1] 安新磊[1] 

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《东北师大学报（自然科学版）》2014年第1期80-87,共8页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11161027);教育部科技研究重点项目(212180);甘肃省自然科学基金资助项目(101RJZA067)

摘　　要：通过非线性动力学理论,分析了一个四维混沌系统的平衡点的稳定性及其基本动力学特性.选择适当的分岔参数,证明了Hopf分岔的存在,并通过中心流形理论和范式理论给出了决定系统周期解稳定性和方向的表达式.最后,通过数值仿真证明理论分析的正确性.In this p parameters. More chaotic system are is investigated determining th derived. Finall aper,a four dimen precisely, the stab studied by means sional chaotic s ility of the equi of nonlinear dy ystem is studied in librium points and b namics theory. The detail by varying four control asic dynamic properties of the existence of Hopf bifurcation by choosing the appropriate bifurcation parameter. Furthermore, formulas for e direction of the Hopf bifurcation and the stability of bifurcating periodic solutions are y,a numerical example is given.

关 键 词：混沌系统 LYAPUNOV指数 HOPF分岔 范式理论 

分 类 号：O415.5[理学—理论物理]