Route to chaotic synchronisation in coupled map lattices: Rigorous results

Simple item page
dc.creatorFernandez, Bastien
dc.creatorGuiraud, Pierre
dc.date2002-10-09
dc.date.accessioned2026-07-07T05:34:21Z
dc.date.available2026-07-07T05:34:21Z
dc.descriptionTwo-dimensional mappings obtained by coupling two piecewise increasing expanding maps are considered. Their dynamics is described when the coupling parameter increases in the expanding domain. By introducing a coding and by analysing an admissibility condition, approximations of the corresponding symbolic systems are obtained. These approximations imply that the topological entropy is located between two decreasing step functions of the coupling parameter. The analysis firstly applies to mappings with piecewise affine local maps which allow explicit expressions and, in a second step, is extended by continuity to mappings with piecewise smooth local maps.
dc.description20 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/nlin/0210019
dc.identifierhttp://arxiv.org/abs/nlin/0210019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80335
dc.subjectChaotic Dynamics
dc.subjectDynamical Systems
dc.titleRoute to chaotic synchronisation in coupled map lattices: Rigorous results
dc.typetext

Files

Collections

arXiv