On multiscroll chaotic attractors in hysteresis-based piecewise-linear systems

被引:12
作者
Han, Fengling [1 ]
Yu, Xinghuo
Feng, Yong
Hu, Jiankun
机构
[1] Royal Melbourne Inst Technol, Sci Engn & Technol Portfolio, Melbourne, Vic 3001, Australia
[2] Harbin Inst Technol, Dept Elect Engn, Harbin 150001, Peoples R China
基金
澳大利亚研究理事会; 中国国家自然科学基金;
关键词
anti-control; chaos; hysteresis; limit cycles; piecewise-linear (PWL) systems;
D O I
10.1109/TCSII.2007.903207
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 analyzes the multiscroll chaotic attractors in hysteresis-based piecewise-linear systems. The dynamics of the chaotic attractors are first analyzed. The unstable limit cycles and the boundary conditions for the occurrence of chaotic behaviors are derived. The sensitivity of systems parameters on the chaotic behaviors is also studied, accompanied by a number of simulations.
引用
收藏
页码:1004 / 1008
页数:5
相关论文
共 18 条
[1]   Low-hardware complexity PRBGs based on a piecewise-linear chaotic map [J].
Addabbo, T. ;
Alioto, M. ;
Fort, A. ;
Rocchi, S. ;
Vignoli, V. .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (05) :329-333
[2]   Bifurcation analysis and its experimental validation for a hysteresis circuit oscillator [J].
Bizzarri, Federico ;
Stellardo, Daniele ;
Storace, Marco .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (07) :517-521
[3]   A mixed time-frequency-domain approach for the analysis of a hysteretic oscillator [J].
Bonnin, M ;
Gilli, M ;
Civalleri, PP .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (09) :525-529
[4]  
HAN F, 2007, INT J APPL MATH COMP, V185, P931
[5]   n-scroll chaotic oscillators by second-order systems and double-hysteresis blocks [J].
Han, FL ;
Yu, XH ;
Wang, YY ;
Feng, Y ;
Chen, GR .
ELECTRONICS LETTERS, 2003, 39 (23) :1636-1638
[6]   A two-port VCCS chaotic oscillator and quad screw attractor [J].
Kataoka, M ;
Saito, T .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (02) :221-225
[7]   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
[8]   Generating multiscroll chaotic attractors:: Theories, methods and applications [J].
Lu, Jinhu ;
Chen, Guanrong .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (04) :775-858
[9]   Analysis of piecewise-linear oscillators with hysteresis [J].
Moreno, UF ;
Peres, PLD ;
Bonatti, IS .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2003, 50 (08) :1120-1124
[10]   AN RC OP AMP CHAOS GENERATOR [J].
NEWCOMB, RW ;
SATHYAN, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1983, 30 (01) :54-56