Coupled analytic maps
Open Access
- 1 May 1995
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 8 (3) , 379-396
- https://doi.org/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.Keywords
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This publication has 9 references indexed in Scilit:
- Macroscopic equilibrium from microscopic irreversibility in a chaotic coupled-map latticePhysical Review E, 1993
- Pattern formation outside of equilibriumReviews of Modern Physics, 1993
- Periodic behavior of cellular automataJournal of Statistical Physics, 1993
- Transfer operators for coupled map latticesErgodic Theory and Dynamical Systems, 1992
- Kinetics of coupled map latticesNonlinearity, 1991
- Spacetime chaos in coupled map latticesNonlinearity, 1988
- Ergodic theory of chaos and strange attractorsReviews of Modern Physics, 1985
- On the existence of invariant measures for piecewise monotonic transformationsTransactions of the American Mathematical Society, 1973
- GIBBS MEASURES IN ERGODIC THEORYRussian Mathematical Surveys, 1972