Global and local control of spatiotemporal chaos in coupled map lattices

被引:99
作者
Parekh, N [1 ]
Parthasarathy, S [1 ]
Sinha, S [1 ]
机构
[1] Ctr Cellular & Mol Biol, Hyderabad 500007, Andhra Pradesh, India
关键词
D O I
10.1103/PhysRevLett.81.1401
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a simple method, using constant pinnings, to suppress spatiotemporal chaos and achieve global control in coupled map lattice models under different situations, e.g., for uniform pinning, nonuniform pinning with regular or random distributions, and lattices with spatial heterogeneity in local dynamics and coupling strength. The method is easy to implement and does not require any a priori information of the system dynamics or explicit changes in its parameters. This method can also be used for local control of spatiotemporal dynamics, an aspect that has crucial importance in many natural systems.
引用
收藏
页码:1401 / 1404
页数:4
相关论文
共 27 条
[1]  
Crutchfield J., 1987, DIRECTIONS CHAOS
[2]   GAP JUNCTIONAL COMMUNICATION IN EXCITABLE TISSUES - THE HEART AS A PARADIGM [J].
DEMELLO, WC .
PROGRESS IN BIOPHYSICS & MOLECULAR BIOLOGY, 1994, 61 (01) :1-35
[3]  
DEVANEY RL, 1985, INTRO CHAOTIC DYNAMI
[4]   Controlling chaos in high dimensions: Theory and experiment [J].
Ding, MZ ;
Yang, WM ;
In, V ;
Ditto, WL ;
Spano, ML ;
Gluckman, B .
PHYSICAL REVIEW E, 1996, 53 (05) :4334-4344
[5]   CHAOS AND PHYSIOLOGY - DETERMINISTIC CHAOS IN EXCITABLE CELL ASSEMBLIES [J].
ELBERT, T ;
RAY, WJ ;
KOWALIK, ZJ ;
SKINNER, JE ;
GRAF, KE ;
BIRBAUMER, N .
PHYSIOLOGICAL REVIEWS, 1994, 74 (01) :1-47
[6]   CONTROLLING CARDIAC CHAOS [J].
GARFINKEL, A ;
SPANO, ML ;
DITTO, WL ;
WEISS, JN .
SCIENCE, 1992, 257 (5074) :1230-1235
[7]   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
[8]   SPATIAL STRUCTURE AND CHAOS IN INSECT POPULATION-DYNAMICS [J].
HASSELL, MP ;
COMINS, HN ;
MAY, RM .
NATURE, 1991, 353 (6341) :255-258
[9]  
Hilborn RC, 1994, CHAOS NONLINEAR DYNA
[10]   CAN EXCITABLE MEDIA BE CONSIDERED AS COMPUTATIONAL SYSTEMS [J].
HOLDEN, AV ;
TUCKER, JV ;
THOMPSON, BC .
PHYSICA D, 1991, 49 (1-2) :240-246