Controlling spatiotemporal chaos in coupled map lattices

被引:9
作者
Zhu, K [1 ]
Chen, TL
机构
[1] Nankai Univ, Inst Phys, Tianjin 300071, Peoples R China
[2] CCAST, World Lab, Beijing 100080, Peoples R China
来源
PHYSICAL REVIEW E | 2001年 / 63卷 / 06期
关键词
D O I
10.1103/PhysRevE.63.067201
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
A simple method is presented for controlling spatiotemporal chaos in coupled map lattices to a homogeneous state. This method can be applied to many kinds of models such as coupled map lattices (CML), one-way open CML (the open-Row model), and globally coupled map. We offer the stability analysis of the homogeneous state. Simple and sufficient conditions are obtained for controlling the above mentioned models Our theoretical results agree well with numerical simulations.
引用
收藏
页码:1 / 067201
页数:4
相关论文
共 16 条
[1]   CONTROLLING SPATIOTEMPORAL CHAOS IN A CHAIN OF THE COUPLED LOGISTIC MAPS [J].
ASTAKHOV, VV ;
ANISHCHENKO, VS ;
SHABUNIN, AV .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1995, 42 (06) :352-357
[2]   CONTROLLING EXTENDED SYSTEMS OF CHAOTIC ELEMENTS [J].
AUERBACH, D .
PHYSICAL REVIEW LETTERS, 1994, 72 (08) :1184-1187
[3]   Pinning control of spatiotemporal chaos [J].
Grigoriev, RO ;
Cross, MC ;
Schuster, HG .
PHYSICAL REVIEW LETTERS, 1997, 79 (15) :2795-2798
[4]  
HU G, 1994, PHYS REV LETT, V72, P68, DOI 10.1103/PhysRevLett.72.68
[5]   Stabilizing nonlinear dynamical systems by an adaptive adjustment mechanism [J].
Huang, WH .
PHYSICAL REVIEW E, 2000, 61 (02) :R1012-R1015
[7]   RELEVANCE OF DYNAMIC CLUSTERING TO BIOLOGICAL NETWORKS [J].
KANEKO, K .
PHYSICA D, 1994, 75 (1-3) :55-73
[8]   PATTERN DYNAMICS IN SPATIOTEMPORAL CHAOS - PATTERN SELECTION, DIFFUSION OF DEFECT AND PATTERN COMPETITION INTERMITTENCY [J].
KANEKO, K .
PHYSICA D, 1989, 34 (1-2) :1-41
[9]  
Kaneko K., 1993, Theory and Applications of Coupled Map Lattices
[10]   Overview of coupled map lattices [J].
Kaneko, Kunihiko .
CHAOS, 1992, 2 (03) :279-282