一类广义Lorenz-Stenflo超混沌系统的局部稳定性及fold分岔研究  

Local Stability and Fold Bifurcation of a Generalized Lorenz-Stenflo Hyperchaotic System

作　　者：陈玉明[1] 

机构地区：[1]广东技术师范学院计算机科学学院,广东广州510665

出　　处：《广东技术师范学院学报》2016年第11期1-5,共5页Journal of Guangdong Polytechnic Normal University

基　　金：广东省自然科学基金(主持人:陈玉明;No.2015A030310424)

摘　　要：针对一类广义的Lorenz-Stenflo四维超混沌系统,基于Routh-Hurwitz准则,分别研究了该系统的原点平衡点及非原点平衡点为双曲平衡点时的局部稳定性,并利用含参中心流形方法,对该系统在原点平衡点处的fold分岔进行了研究,从而获得了原点平衡点为非双曲时的稳定性行为.This paper approaches a generalized Lorenz-Stenflo hyperchaotic system.Basing on the Routh- Hurwitz principle, the stabilities of hyperbolic origin equilibrium and hyperbolic non-origin equilibria are investigated. Furthermore, with the help of the parameter-dependent center manifold theory, the fold bifurcation of this hyperchaotic system at origin equilibrium is investigated. Thus, the stability of the non-hyperbolic origin equilibrium is obtained.

关 键 词：Lorenz型系统 超混沌 稳定性 FOLD分岔 

分 类 号：O415[理学—理论物理]