Controlling a unified chaotic system to hyperchaotic

被引:153
作者
Li, YX [1 ]
Chen, GR [1 ]
Tang, WKS [1 ]
机构
[1] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
关键词
chaotic circuit; hyperchaos; parameter perturbation; unified chaotic system;
D O I
10.1109/TCSII.2004.842413
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This brief presents a simple technique using a sinusoidal parameter perturbation control input to drive a unified chaotic system to hyperchaotic. The original chaotic system is a three-dimensional autonomous system that has a broad spectrum of chaotic behaviors with the Lorenz and the Chen systems as two extremes of the spectrum. The control input is a simple sinusoidal function cos(omega t) with a constant parameter omega. The hyperchaotic system is not only demonstrated by computer simulations but also verified with bifurcation analysis and implemented via an electronic circuit.
引用
收藏
页码:204 / 207
页数:4
相关论文
共 16 条
[1]   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
[2]   On a generalized Lorenz canonical form of chaotic systems [J].
Celikovsky, S ;
Chen, GR .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (08) :1789-1812
[3]  
Cenys A, 2003, CHAOS SOLITON FRACT, V17, P349
[4]   Guest Editorial [J].
Chen, HF ;
Zheng, DZ .
DISCRETE EVENT DYNAMIC SYSTEMS-THEORY AND APPLICATIONS, 1999, 9 (01) :7-8
[5]   ERGODIC-THEORY OF CHAOS AND STRANGE ATTRACTORS [J].
ECKMANN, JP ;
RUELLE, D .
REVIEWS OF MODERN PHYSICS, 1985, 57 (03) :617-656
[6]   A systematic procedure for synchronizing hyperchaos via observer design [J].
Grassi, G ;
Mascolo, S .
JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS, 2002, 11 (01) :1-16
[7]   Controlling hyperchaos of the Rossler system [J].
Hsieh, JY ;
Hwang, CC ;
Wang, AP ;
Li, WJ .
INTERNATIONAL JOURNAL OF CONTROL, 1999, 72 (10) :882-886
[8]   Dynamical analysis of a new chaotic attractor [J].
Lu, JH ;
Chen, GR ;
Zhang, SC .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (05) :1001-1015
[9]   A new chaotic attractor coined [J].
Lü, JH ;
Chen, GR .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (03) :659-661
[10]   EQUATION FOR HYPERCHAOS [J].
ROSSLER, OE .
PHYSICS LETTERS A, 1979, 71 (2-3) :155-157