Optimized chaos control with simple limiters

被引:25
作者
Wagner, C [1 ]
Stoop, R
机构
[1] Univ Bern, Inst Pharmacol, Friedbuehlstr 49, CH-3010 Bern, Switzerland
[2] Univ Zurich, ETH Zuerich, Inst Neuroinformat, CH-8057 Zurich, Switzerland
来源
PHYSICAL REVIEW E | 2001年 / 63卷 / 01期
关键词
D O I
10.1103/PhysRevE.63.017201
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We present an elementary derivation of chaos control with simple limiters using the logistic map and the Henon map as examples. This derivation provides conditions for optimal stabilization of unstable periodic orbits of a chaotic attractor.
引用
收藏
页数:2
相关论文
共 5 条
[1]   Controlling chaos with simple limiters [J].
Corron, NJ ;
Pethel, SD ;
Hopper, BA .
PHYSICAL REVIEW LETTERS, 2000, 84 (17) :3835-3838
[2]   BIFURCATIONS IN FLAT-TOPPED MAPS AND THE CONTROL OF CARDIAC CHAOS [J].
GLASS, L ;
ZENG, WZ .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1994, 4 (04) :1061-1067
[3]  
KAPITANIAK T, 1996, CONTROLLING CHAOS
[4]   CONTROLLING CHAOS [J].
OTT, E ;
GREBOGI, C ;
YORKE, JA .
PHYSICAL REVIEW LETTERS, 1990, 64 (11) :1196-1199
[5]  
Schuster HG, 1999, HDB CHAOS CONTROL