Dynamics of a hyperchaotic Lorenz-type system

被引：63

作者：

Chen, Yuming ^{[1
]}

Yang, Qigui ^{[1
]}

机构：

[1] S China Univ Technol, Sch Math Sci, Guangzhou 510640, Guangdong, Peoples R China

来源：

NONLINEAR DYNAMICS | 2014年 / 77卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Hyperchaotic; Pitchfork bifurcation; Hopf bifurcation; Homoclinic/heteroclinic orbit; ATTRACTORS; CHAOS;

D O I：

10.1007/s11071-014-1318-0

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper discusses the complex dynamics of a new four-dimensional continuous-time autonomous hyperchaotic Lorenz-type system. The local dynamics, such as the stability, pitchfork bifurcation, and Hopf bifurcation at equilibria of this hyperchaotic system are analyzed by using the parameter-dependent center manifold theory and the normal form theory. The existence of homoclinic and heteroclinic orbits of this hyperchaotic system is further rigorously studied. More exactly, under some special parameter conditions, the fact that this hyperchaotic system has no homoclinic orbit but has two and only two heteroclinic orbits are proved.

引用

页码：569 / 581

页数：13

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