Chaos synchronization in a hyperbolic dynamical system with long-range interactions

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dc.creatorPereira, Rodrigo Frehse
dc.creatorPinto, Sandro Ely de Souza
dc.creatorViana, Ricardo Luiz
dc.creatorLopes, Sergio Roberto
dc.date2008-09-01
dc.date.accessioned2026-07-07T09:59:47Z
dc.date.available2026-07-07T09:59:47Z
dc.descriptionWe show that the threshold of complete synchronization in a lattice of coupled non-smooth chaotic maps is determined by linear stability along the directions transversal to the synchronization subspace. As a result, the numerically determined synchronization threshold agree with the analytical results previously obtained [C. Anteneodo et al., Phys. Rev. E 68, 045202(R) (2003)] for this class of systems. We present both careful numerical experiments and a rigorous mathematical explanation confirming this fact, allowing for a generalization involving hyperbolic coupled map lattices.
dc.description4 pages, 1 figure, submitted to Physical Review E (rapid communication)
dc.identifierhttps://arxiv.org/abs/0809.0294
dc.identifierhttp://arxiv.org/abs/0809.0294
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168147
dc.subjectChaotic Dynamics
dc.titleChaos synchronization in a hyperbolic dynamical system with long-range interactions
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