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chao-dynJun 24, 1994
49
citations (OpenAlex)
authors
  • J. Bricmont
  • A. Kupiainen
institutions
  • KU Leuven
arXiv abstractPDF
paper

Coupled Analytic Maps

arXiv:chao-dyn/9406008 · doi:10.1088/0951-7715/8/3/005

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.

22 pages, Latex

Cited by in corpus (12)

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  • Phase transitions in a piecewise expanding coupled map lattice with linear nearest neighbour coupling
  • On the Collective Motion in Globally Coupled Chaotic Systems
  • Relation between coupled map lattices and kinetic Ising models
  • Analytical Approach for Piecewise Linear Coupled Map Lattices
  • A fluctuation theorem in a random environment
  • Analyticity of the SRB measure of a lattice of coupled Anosov diffeomorphisms of the torus
  • Phase transition and correlation decay in Coupled Map Lattices
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