Controlling hyperchaos in the new hyperchaotic Chen system

被引:133
作者
Yan, ZY [1 ]
机构
[1] Chinese Acad Sci, Inst Syst Sci, AMSS, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
基金
中国国家自然科学基金;
关键词
hyperchaos control; hyperchaotic Chen system; feedback control; Routh-Hurwitz theorem;
D O I
10.1016/j.amc.2004.10.016
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate the new hyperchaotic Chen system, which was present recently by introducing a feedback controller to the Chen system. The linear, speed, nonlinear doubly-periodic function and nonlinear hyperbolic function feedback controls are used to suppress hyperchaos to unstable equilibrium. The Routh-Hurwitz theorem is used to derive the conditions of stability of controlled hyperchaotic Chen systems. Moreover numerical simulations are used to verify the effectiveness of the proposed controllers. (c) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:1239 / 1250
页数:12
相关论文
共 13 条
[1]  
AGZIA HZ, 2002, SOLITONS FRACTALS, V13, P341
[2]   New 3D-scroll attractors in hyperchaotic Chua's circuits forming a ring [J].
Cafagna, D ;
Grassi, G .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (10) :2889-2903
[3]  
Chen G., 1998, CHAOS ORDER PERSPECT
[4]   Yet another chaotic attractor [J].
Chen, GR ;
Ueta, T .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466
[5]  
LI Y, 2004, IN PRESS INT J BIFUR
[6]   HYPERCHAOS - LABORATORY EXPERIMENT AND NUMERICAL CONFIRMATION [J].
MATSUMOTO, T ;
CHUA, LO ;
KOBAYASHI, K .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (11) :1143-1147
[7]   CONTROLLING CHAOS [J].
OTT, E ;
GREBOGI, C ;
YORKE, JA .
PHYSICAL REVIEW LETTERS, 1990, 64 (11) :1196-1199
[8]   CONTINUOUS CONTROL OF CHAOS BY SELF-CONTROLLING FEEDBACK [J].
PYRAGAS, K .
PHYSICS LETTERS A, 1992, 170 (06) :421-428
[9]   EQUATION FOR HYPERCHAOS [J].
ROSSLER, OE .
PHYSICS LETTERS A, 1979, 71 (2-3) :155-157
[10]   Hyperchaotic oscillator with gyrators [J].
Tamasevicius, A ;
Cenys, A ;
Mykolaitis, G ;
Namajunas, A ;
Lindberg, E .
ELECTRONICS LETTERS, 1997, 33 (07) :542-544