On feedback anticontrol of discrete chaos

被引:106
作者
Wang, XF [1 ]
Chen, GR
机构
[1] Nanjing Univ Sci & Technol, Dept Automat Control, Nanjing 210094, Peoples R China
[2] Univ Houston, Dept Elect & Comp Engn, Houston, TX 77204 USA
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1999年 / 9卷 / 07期
关键词
D O I
10.1142/S0218127499000985
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this Letter, we prove that the algorithm of Chen and Lai [1996, 1997, 1998] for the anticontrol of chaos leads to chaos not only in the sense of Devaney but also in the sense of Li and Yorke, for both linear and nonlinear autonomous systems of any dimensionalities.
引用
收藏
页码:1435 / 1441
页数:7
相关论文
共 25 条
[1]  
[Anonymous], 1987, INTRO CHAOTIC DYNAMI
[2]  
[Anonymous], 1998, CHAOS ENG THEORY APP
[3]  
BOLLT E, 1999, IN PRESS INT J BIFUR
[4]   Bifurcation control of two nonlinear models of cardiac activity [J].
Brandt, ME ;
Chen, GR .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1997, 44 (10) :1031-1034
[5]   Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span [J].
Chen, G ;
Hsu, SB ;
Zhou, JX .
JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (12) :6459-6489
[6]  
CHEN G, 1998, IEEE CIRCUITS SY MAR, P1
[7]  
Chen G., 1998, CHAOS ORDER METHODOL
[8]   Feedback control of Lyapunov exponents for discrete-time dynamical systems [J].
Chen, GR ;
Lai, DJ .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1996, 6 (07) :1341-1349
[9]   Feedback anticontrol of discrete chaos [J].
Chen, GR ;
Lai, DJ .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (07) :1585-1590
[10]   Chaos and asymptotical stability in discrete-time neural networks [J].
Chen, LN ;
Aihara, K .
PHYSICA D-NONLINEAR PHENOMENA, 1997, 104 (3-4) :286-325