Coupled analytic maps

1994/06/24 by J. Bricmont, J Bricmont, A. Kupiainen +1 · 2 citations
Mathematics · Physics and Astronomy · #Chaos control and synchronization #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #chao-dyn #nlin.CD

paper · pdf · doi:10.1088/0951-7715/8/3/005

22 pages, Latex

arxiv created 1994/06/24 · openalex publication_date 1995/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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.

Citations

• GIBBS MEASURES IN ERGODIC THEORY
• Pattern formation outside of equilibrium

Cited by

• A fluctuation theorem in a random environment
• High temperature expansions and dynamical systems