Synchronization and directed percolation in coupled map lattices

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dc.creatorBagnoli, Franco
dc.creatorBaroni, Lucia
dc.creatorPalmerini, Paolo
dc.date1998-07-20
dc.date1999-04-29
dc.date.accessioned2026-07-07T06:22:13Z
dc.date.available2026-07-07T06:22:13Z
dc.descriptionWe study a synchronization mechanism, based on one-way coupling of all-or-nothing type, applied to coupled map lattices with several different local rules. By analyzing the metric and the topological distance between the two systems, we found two different regimes: a strong chaos phase in which the transition has a directed percolation character and a weak chaos phase in which the synchronization transition occurs abruptly. We are able to derive some analytical approximations for the location of the transition point and the critical properties of the system. We propose to use the characteristics of this transition as indicators of the spatial propagation of chaoticity.
dc.description12 pages + 12 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9807279
dc.identifierhttp://arxiv.org/abs/cond-mat/9807279
dc.identifierPhys. REv. E 59, 409 (1999)
dc.identifierdoi:10.1103/PhysRevE.59.409
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95844
dc.subjectStatistical Mechanics
dc.subjectChaotic Dynamics
dc.titleSynchronization and directed percolation in coupled map lattices
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