Hyperbolicity and the effective dimension of spatially-extended dissipative systems

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dc.creatorYang, Hong-liu
dc.creatorTakeuchi, Kazumasa A.
dc.creatorGinelli, Francesco
dc.creatorChaté, Hugues
dc.creatorRadons, Günter
dc.date2008-07-31
dc.date2008-10-24
dc.date.accessioned2026-07-07T12:45:19Z
dc.date.available2026-07-07T12:45:19Z
dc.descriptionWe show, using covariant Lyapunov vectors, that the chaotic solutions of spatially extended dissipative systems evolve within a manifold spanned by a finite number of physical modes hyperbolically isolated from a set of residual degrees of freedom, themselves individually isolated from each other. In the context of dissipative partial differential equations, our results imply that a faithful numerical integration needs to incorporate at least all physical modes and that increasing the resolution merely increases the number of isolated modes.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0807.5073
dc.identifierhttp://arxiv.org/abs/0807.5073
dc.identifierPhys. Rev. Lett. 102, 074102 (2009)
dc.identifierdoi:10.1103/PhysRevLett.102.074102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221051
dc.subjectChaotic Dynamics
dc.subjectStatistical Mechanics
dc.titleHyperbolicity and the effective dimension of spatially-extended dissipative systems
dc.typetext

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