Driven Maps and the Emergence of Ordered Collective Behavior in Globally Coupled Maps

Preprint

7 January 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9801005

Abstract

A method to predict the emergence of different kinds of ordered collective behaviors in systems of globally coupled chaotic maps is proposed. The method is based on the analogy between globally coupled maps and a map subjected to an external drive. A vector field which results from this analogy appears to govern the transient evolution of the globally coupled system. General forms of global couplings are considered. Some simple applications are given.

Keywords

ORDERED COLLECTIVE BEHAVIOR
GLOBALLY COUPLED MAPS
DRIVEN MAPS
EVOLUTION
MAPS

All Related Versions

Version 1, 1998-01-07, ArXiv
Published version: Physical Review E, 58 (2), 1665.

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