Eur. Phys. J. Special Topics 143, 245-247 (2007)
https://doi.org/10.1140/epjst/e2007-00095-9

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

¹ Departamento de Física, FACYT, Universidad de Carabobo, 5321 Valencia, Venezuela
² Centro de Física Fundamental, Universidad de los Andes, Apartado Postal 26, 5251 Mérida, Venezuela
³ SUMA-CESIMO, Universidad de Los Andes, 5251 Mérida, Venezuela
⁴ Institut fuer Physikalische Chemie und Elektrochemie, Universitaet Hannover, Hannover, Germany

Abstract

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.