Generation of hyperchaos from the Chen-Lee system via sinusoidal perturbation

被引：21

作者：

Tam, Lap Mou ^{[1
]}

Chen, Juhn Horng ^{[2
]}

Chen, Hsien Keng ^{[3
]}

Tou, Wai Meng Si ^{[1
]}

机构：

[1] Univ Macau, Fac Sci & Technol, Dept Elect Engn, Taipa, Peoples R China

[2] Chung Hua Univ, Dept Mech Engn, Hsinchu, Taiwan

[3] Hsiuping Inst Technol, Dept Mech Engn, Taichung, Taiwan

来源：

CHAOS SOLITONS & FRACTALS | 2008年 / 38卷 / 03期

关键词：

D O I：

10.1016/j.chaos.2007.01.039

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A system with more than one positive Lyapunov exponent can be classified as a hyperchaotic system. In this study, a sinusoidal perturbation was designed for generating hyperchaos from the Chen-Lee chaotic system. The hyperchaos was identified by the existence of two positive Lyapunov exponents and bifurcation diagrams. The system is hyperchaotic in several different regions of the parameters c, epsilon, and omega. It was found that this method not only can enhance or suppress chaotic behavior, but also induces chaos in non-chaotic parameter ranges. In addition, two interesting dynamical behaviors, Hopf bifurcation and intermittency, were also found in this study. (C) 2007 Published by Elsevier Ltd.

引用

页码：826 / 839

页数：14

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