Random global coupling induces synchronization and nontrivial collective behavior in networks of chaotic maps

被引:7
作者
Alvarez-Llamoza, O. [1 ]
Tucci, K.
Cosenza, M. G.
Pineda, M.
机构
[1] Univ Carabobo, FACYT, Dept Fis, Valencia, Spain
[2] Univ Los Andes, CESIMO, SUMA, Merida 5251, Venezuela
[3] Univ Los Andes, Ctr Fis Fundamental, Merida 5251, Venezuela
[4] Leibniz Univ Hannover, Inst Phys Chem & Elektrochem, D-30167 Hannover, Germany
关键词
EUROPEAN Physical Journal Special Topic; Bifurcation Diagram; Venezuela; Local Dynamic; Collective State;
D O I
10.1140/epjst/e2007-00095-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The phenomena of synchronization and nontrivial collective behavior are studied in a model of coupled chaotic maps with random global coupling. The mean field of the system is coupled to a fraction of elements randomly chosen at any given time. It is shown that the reinjection of the mean field to a fraction of randomly selected elements can induce synchronization and nontrivial collective behavior in the system. The regions where these collective states emerge on the space of parameters of the system are calculated.
引用
收藏
页码:245 / 247
页数:3
相关论文
共 5 条
[1]   EMERGENCE OF EFFECTIVE LOW-DIMENSIONAL DYNAMICS IN THE MACROSCOPIC BEHAVIOR OF COUPLED MAP LATTICES [J].
CHATE, H ;
MANNEVILLE, P .
EUROPHYSICS LETTERS, 1992, 17 (04) :291-296
[2]   Synchronization and collective behavior in globally coupled logarithmic maps [J].
Cosenza, MG ;
Gonzalez, J .
PROGRESS OF THEORETICAL PHYSICS, 1998, 100 (01) :21-38
[3]   GLOBALLY COUPLED CHAOS VIOLATES THE LAW OF LARGE NUMBERS BUT NOT THE CENTRAL-LIMIT-THEOREM [J].
KANEKO, K .
PHYSICAL REVIEW LETTERS, 1990, 65 (12) :1391-1394
[4]   FRACTAL TRANSFORMATION OF THE ONE-DIMENSIONAL CHAOS PRODUCED BY LOGARITHMIC MAP [J].
KAWABE, T ;
KONDO, Y .
PROGRESS OF THEORETICAL PHYSICS, 1991, 85 (04) :759-769
[5]  
NEWMAN M, 2006, STRUCTURE DYNAMICS N, P30601