A new hyper-chaotic system and its synchronization

被引：53

作者：

Chen, Cheng-Hsien ^{[2
]}

Sheu, Long-Jye ^{[3
]}

Chen, Hsien-Keng ^{[1
]}

Chen, Juhn-Horng ^{[3
]}

Wang, Hung-Chih ^{[4
]}

Chao, Yi-Chi ^{[3
]}

Lin, Yu-Kai ^{[3
]}

机构：

[1] Hsiuping Inst Technol, Dept Ind Engn & Management, Dali City, Taichung, Taiwan

[2] Army Acad ROC, Dept Vehicle Engn, Tao Yuan, Taiwan

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

[4] Hsiuping Inst Technol, Dept Mech Engn, Dali City, Taichung, Taiwan

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 04期

关键词：

Chen-Lee system; Hyper-chaos; Hybrid projective synchronization; HYPERCHAOTIC CHEN SYSTEM; DIFFERENT ORDER SYSTEMS; ADAPTIVE SYNCHRONIZATION; ANTI-CONTROL; FEEDBACK; GENERATOR;

D O I：

10.1016/j.nonrwa.2008.03.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a new hyper-chaotic system obtained by adding a nonlinear controller to the third equation of the three-dimensional autonomous Chen-Lee chaotic system. Computer simulations demonstrated the hyper-chaotic dynamic behaviors of the system. Numerical results revealed that the new hyper-chaotic system possesses two positive exponents. It was also found that the structure of the hyper-chaotic attractors is more complex than those of the Chen-Lee chaotic system. Furthermore, the hybrid projective synchronization (HPS) of the new hyper-chaotic systems was studied using a nonlinear feedback control. The nonlinear controller was designed according to Lyapunov's direct method to guarantee HPS, which includes synchronization, anti-synchronization, and projective synchronization. Numerical examples are presented in order to illustrate HPS. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2088 / 2096

页数：9

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