CONTROL OF CHAOS IN DELAY-DIFFERENTIAL EQUATIONS, IN A NETWORK OF OSCILLATORS AND IN MODEL CORTEX

被引:28
作者
BABLOYANTZ, A
LOURENCO, C
SEPULCHRE, JA
机构
[1] Service de Chimie-Physique, Université Libre de Bruxelles, B-1050 Bruxelles, CP 231 - Campus Plaine, Boulevard Triomphe
来源
PHYSICA D | 1995年 / 86卷 / 1-2期
关键词
D O I
10.1016/0167-2789(95)00108-G
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We extend the Ott-Grebogi-Yorke method to the stabilization of unstable orbits in a network of oscillators exhibiting spatiotemporal chaotic activity, wherein the perturbation is applied to the variables of the system. With the help of numerical simulations we show that a method developed by Pyragas can stabilize unstable orbits in a one variable delay differential equation and in a model cortical network with delay. We discuss the relevance of these results in the physiological processes of the brain.
引用
收藏
页码:274 / 283
页数:10
相关论文
共 32 条
[21]   CONTINUOUS CONTROL OF CHAOS BY SELF-CONTROLLING FEEDBACK [J].
PYRAGAS, K .
PHYSICS LETTERS A, 1992, 170 (06) :421-428
[22]  
ROMEIRAS F, 1991, 1991 P AM CONTR C
[23]   DYNAMIC CONTROL OF A CHAOTIC LASER - EXPERIMENTAL STABILIZATION OF A GLOBALLY COUPLED SYSTEM [J].
ROY, R ;
MURPHY, TW ;
MAIER, TD ;
GILLS, Z ;
HUNT, ER .
PHYSICAL REVIEW LETTERS, 1992, 68 (09) :1259-1262
[24]  
Ruelle D., 1978, THERMODYNAMIC FORMAL
[25]  
SCHILLEN TB, 1990, PARALLEL PROCESSING
[26]  
SCHUSTER H, 1990, PARALLEL PROCESSING
[27]   CONTROLLING CHAOS IN A NETWORK OF OSCILLATORS [J].
SEPULCHRE, JA ;
BABLOYANTZ, A .
PHYSICAL REVIEW E, 1993, 48 (02) :945-950
[28]   CONTROLLING A CHAOTIC SYSTEM [J].
SINGER, J ;
WANG, YZ ;
BAU, HH .
PHYSICAL REVIEW LETTERS, 1991, 66 (09) :1123-1125
[29]   GLOBAL PROCESSING OF VISUAL-STIMULI IN A NEURAL NETWORK OF COUPLED OSCILLATORS [J].
SOMPOLINSKY, H ;
GOLOMB, D ;
KLEINFELD, D .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1990, 87 (18) :7200-7204
[30]  
Sparrow C., 1982, LORENZ EQUATIONS BIF