Phase transitions in a piecewise expanding coupled map lattice with linear nearest neighbour coupling

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dc.creatorBardet, Jean-Baptiste
dc.creatorKeller, Gerhard
dc.date2006-05-18
dc.date.accessioned2026-07-07T08:28:16Z
dc.date.available2026-07-07T08:28:16Z
dc.descriptionWe construct a mixing continuous piecewise linear map on [-1,1] with the property that a two-dimensional lattice made of these maps with a linear north and east nearest neighbour coupling admits a phase transition. We also provide a modification of this construction where the local map is an expanding analytic circle map. The basic strategy is borroughed from [Gielis-MacKay (2000)], namely we compare the dynamics of the CML to those of a probabilistic cellular automaton of Toom's type.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0605501
dc.identifierhttp://arxiv.org/abs/math/0605501
dc.identifierNonlinearity 19 (2006) 2193-2210
dc.identifierdoi:10.1088/0951-7715/19/9/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137558
dc.subjectDynamical Systems
dc.subjectProbability
dc.subject37L40 37L60 82C20
dc.titlePhase transitions in a piecewise expanding coupled map lattice with linear nearest neighbour coupling
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