A family of n-scroll hyperchaotic attractors and their realization

被引:45
作者
Yu, Simin
Lu, Jinhu [1 ]
Chen, Guanrong
机构
[1] Chinese Acad Sci, Acad Math & Syst Sci, Key lab Syst & Control, Inst Syst Sci, Beijing 100080, Peoples R China
[2] Guangdong Univ Technol, Coll Automat, Guangzhou 510090, Guangdong, Peoples R China
[3] Wuhan Univ, State Key Lab Software Engn, Wuhan 430072, Peoples R China
[4] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
[5] Princeton Univ, Dept Ecol & Evolutionary Biol, Princeton, NJ 08544 USA
基金
中国国家自然科学基金;
关键词
hyperchaos; multi-scroll attractors; analog circuit; digital signal processor;
D O I
10.1016/j.physleta.2006.12.029
中图分类号
O4 [物理学];
学科分类号
0702 [物理学];
摘要
A systematic circuit design approach is proposed for experimental verification of hyperchaotic 2-, 3-, 4-scroll attractors from a generalized Matsumoto-Chua-Kobayashi (MCK) circuit. Moreover, using appropriate discrete and extended transformations, a novel digital signal processor (DSP) method is also presented for physically realizing the above hyperchaotic 2-, 3-, 4-scroll attractors. This is the first time in the literature to report the experimental verification of hyperchaotic 3- and 4-scroll attractors. Some recursive formulas of system parameters are rigorously derived, useful for improving circuit implementation. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:244 / 251
页数:8
相关论文
共 23 条
[1]
CHUA CIRCUIT - AN OVERVIEW 10 YEARS LATER [J].
CHUA, LO .
JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS, 1994, 4 (02) :117-159
[2]
Han FL, 2005, DYNAM CONT DIS SER B, V12, P95
[3]
Experimental study of impulsive synchronization of chaotic and hyperchaotic circuits [J].
Itoh, M ;
Yang, T ;
Chua, LO .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1393-1424
[4]
Experimental verification of multidirectional multiscroll chaotic attractors [J].
Lü, JH ;
Yu, S ;
Leung, H ;
Chen, G .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2006, 53 (01) :149-165
[5]
Design and analysis of multiscroll chaotic attractors from saturated function series [J].
Lü, JH ;
Chen, GR ;
Yu, XH ;
Leung, H .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2004, 51 (12) :2476-2490
[6]
Generating 3-D multi-scroll chaotic attractors:: A hysteresis series switching method [J].
Lü, JH ;
Han, FL ;
Yu, XH ;
Chen, GR .
AUTOMATICA, 2004, 40 (10) :1677-1687
[7]
Generating chaotic attractors with multiple merged basins of attraction:: A switching piecewise-linear control approach [J].
Lü, JH ;
Yu, XH ;
Chen, GR .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (02) :198-207
[8]
Bridge the gap between the Lorenz system and the Chen system [J].
Lü, JH ;
Chen, GR ;
Cheng, DZ ;
Celikovsky, S .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (12) :2917-2926
[9]
Generating chaos with a switching piecewise-linear controller [J].
Lü, JH ;
Zhou, TS ;
Chen, GR ;
Yang, XS .
CHAOS, 2002, 12 (02) :344-349
[10]
A new chaotic attractor coined [J].
Lü, JH ;
Chen, GR .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (03) :659-661