Coupled Analytic-maps

Bricmont, Jean;Kupiainen, Antti
(1995) Nonlinearity — Vol. 8, n° 3, p. 379-396 (1995)

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  • Bricmont, JeanUCLouvain
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  • Kupiainen, AnttiUCLouvain
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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.
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Bricmont, J., & Kupiainen, A. (1995). Coupled Analytic-maps. Nonlinearity, 8(3), 379-396. https://doi.org/10.1088/0951-7715/8/3/005 (Original work published 1995)