Coupled Analytic Maps

Preprint

24 June 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9406008

Abstract

We consider a lattice of weakly coupled expanding circle maps. We construct, via a cluster expansion of the Perron-Frobenius operator, an invariant measure for these infinite dimensional dynamical systems which exhibits space-time-chaos.

Keywords

CLUSTER EXPANSION
DYNAMICAL SYSTEMS
INVARIANT MEASURE
COUPLED ANALYTIC
PERRON FROBENIUS
EXHIBITS SPACE
ANALYTIC MAPS
LATTICE
CHAOS

All Related Versions

Version 1, 1994-06-22, ArXiv
Version 2, 1994-06-24, ArXiv
Published version: Nonlinearity, 8 (3), 379.

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