A hyperchaotic system from the Rabinovich system

被引：43
作者：
Liu, Yongjian [1 ,2 ]
Yang, Qigui [1 ]
Pang, Guoping [2 ]
机构：
[1] S China Univ Technol, Sch Math Sci, Guangzhou 510640, Guangdong, Peoples R China
[2] Yulin Normal Univ, Dept Math & Computat Sci, Yulin 537000, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Hyperchaos; Ultimate boundedness; Lyapunov exponents; Bifurcation; LORENZ-SYSTEM; CHAOTIC SYSTEM; ATTRACTORS;
D O I：
10.1016/j.cam.2009.12.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a new 4D hyperchaotic system which is constructed by a linear controller to the 3D Rabinovich chaotic system. Some complex dynamical behaviors such as boundedness, chaos and hyperchaos of the 4D autonomous system are investigated and analyzed. A theoretical and numerical study indicates that chaos and hyperchaos are produced with the help of a Lienard-like oscillatory motion around a hypersaddle stationary point at the origin. The corresponding bounded hyperchaotic and chaotic attractors are first numerically verified through investigating phase trajectories, Lyapunov exponents, bifurcation path and Poincare projections. Finally, two complete mathematical characterizations for 40 Hopf bifurcation are rigorously derived and studied. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：101 / 113
页数：13
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