Hyperchaos generated from the lorenz chaotic system and its control

被引:195
作者
Jia, Qiang [1 ]
机构
[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China
关键词
D O I
10.1016/j.physleta.2007.02.024
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this Letter, a hyperchaotic Lorenz system is constructed via state feedback control. Abundant dynamics of the hyperchaotic system is studied using the Lyapunov exponents, Poincare section and bifurcation diagram. Furthermore, effective linear feedback controllers are designed for stabilizing hyperchaos to unstable equilibrium, periodic orbits and quasi-periodic orbit. Numerical simulations are given to illustrate and verify the results. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:217 / 222
页数:6
相关论文
共 15 条
[1]   Generating hyperchaotic Lu attractor via state feedback control [J].
Chen, AM ;
Lu, JN ;
Lü, JH ;
Yu, SM .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 364 :103-110
[2]   Control of chaos: Methods and applications in engineering [J].
Fradkov, AL ;
Evans, RJ .
ANNUAL REVIEWS IN CONTROL, 2005, 29 (01) :33-56
[3]   Global linear feedback control for the generalized Lorenz system [J].
Gambino, Gaetana ;
Lombardo, Maria Carmela ;
Sammartino, Marco .
CHAOS SOLITONS & FRACTALS, 2006, 29 (04) :829-837
[4]   A stabilization method of chaotic systems based on full delayed feedback controller design [J].
Guan, XP ;
Feng, G ;
Chen, CL .
PHYSICS LETTERS A, 2006, 348 (3-6) :210-221
[5]   PRETURBULENCE - REGIME OBSERVED IN A FLUID-FLOW MODEL OF LORENTZ [J].
KAPLAN, JL ;
YORKE, JA .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 67 (02) :93-108
[6]   Generating hyperchaos via state feedback control [J].
Li, YX ;
Tang, WKS ;
Chen, GR .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 15 (10) :3367-3375
[7]   Hyperchaos evolved from the generalized Lorenz equation [J].
Li, YX ;
Tang, WKS ;
Chen, GR .
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2005, 33 (04) :235-251
[8]   Chaos control for the family of Rossler systems using feedback controllers [J].
Liao, XX ;
Yu, P .
CHAOS SOLITONS & FRACTALS, 2006, 29 (01) :91-107
[9]   A new chaotic attractor [J].
Liu, CX ;
Liu, T ;
Liu, L ;
Liu, K .
CHAOS SOLITONS & FRACTALS, 2004, 22 (05) :1031-1038
[10]   DETUNED LASERS AND THE COMPLEX LORENZ EQUATIONS - SUBCRITICAL AND SUPERCRITICAL HOPF BIFURCATIONS [J].
NING, CZ ;
HAKEN, H .
PHYSICAL REVIEW A, 1990, 41 (07) :3826-3837