A hyperchaotic system from a chaotic system with one saddle and two stable node-foci

被引：33

作者：

Yang, Qigui ^{[1
]}

Liu, Yongjian ^{[1
,2
]}

机构：

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

[2] Yulin Normal Univ, Dept Math & Computat Sci, Yulin 537000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 360卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Hyperchaos; Chaos; Ultimate boundedness; Lyapunov exponents; Bifurcation; POSITIVELY INVARIANT SET; LORENZ-SYSTEM;

D O I：

10.1016/j.jmaa.2009.06.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a 4D new hyperchaotic system which is constructed by a linear controller to a 3D new chaotic system with one saddle and two stable node-foci. Some complex dynamical behaviors such as ultimate boundedness, chaos and hyperchaos of the simple 4D autonomous system are investigated and analyzed. The corresponding bounded hyperchaotic and chaotic attractor is first numerically verified through investigating phase trajectories. Lyapunove exponents. bifurcation path, analysis of power spectrum and Poincare projections. Finally. two complete mathematical characterizations for 4D Hopf bifurcation are rigorous derived and studied. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：293 / 306

页数：14

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