Bifurcations in Globally Coupled Map Lattices

Preprint

15 May 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9405009

Abstract

The dynamics of globally coupled map lattices can be described in terms of a nonlinear Frobenius--Perron equation in the limit of large system size. This approach allows for an analytical computation of stationary states and their stability. The complete bifurcation behaviour of coupled tent maps near the chaotic band merging point is presented. Furthermore the time independent states of coupled logistic equations are analyzed. The bifurcation diagram of the uncoupled map carries over to the map lattice. The analytical results are supplemented with numerical simulations.

Keywords

NUMERICAL SIMULATIONS
GLOBALLY COUPLED MAP
COUPLED MAP LATTICES
MAP LATTICES
BIFURCATION

All Related Versions

Version 1, 1994-05-15, ArXiv
Published version: Journal of Statistical Physics, 79 (1), 429.

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