Coupled Analytic Maps

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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22 pages, Latex

Scientific paper

10.1088/0951-7715/8/3/005

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.

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