CLUSTER DYNAMICS IN SYSTEMS WITH CONSTANT MEAN FIELD COUPLING-Reference-Cited by-同舟云学术

CLUSTER DYNAMICS IN SYSTEMS WITH CONSTANT MEAN FIELD COUPLING

Published:1999-12 Issue:12 Volume:09 Page:2311-2314
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

PARRAVANO A.¹,COSENZA M. G.¹

Affiliation:

1. Centro de Astrofísica Teórica, Universidad de Los Andes, Apartado Postal 26 La Hechicera, Mérida 5251, Venezuela

Abstract

A procedure to predict the occurrence of periodic clusters in a system of globally coupled maps displaying a constant mean field is presented. The method employs the analogy between a system of globally coupled maps and a single map driven by a constant force. By obtaining the asymptotic orbits of the driven map, an associated coupling function can be constructed. This function allows to establish a direct connection between both systems. Some applications are shown.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127499001802

Reference16 articles.

1. Emergence of Effective Low-Dimensional Dynamics in the Macroscopic Behaviour of Coupled Map Lattices

2. Non-trivial collective behavior in extensively-chaotic dynamical systems: an update

3. Globally coupled chaos violates the law of large numbers but not the central-limit theorem

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