Effective dynamics in Hamiltonian systems with mixed phase space

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dc.creatorMotter, Adilson E.
dc.creatorde Moura, Alessandro P. S.
dc.creatorGrebogi, Celso
dc.creatorKantz, Holger
dc.date2005-03-29
dc.date.accessioned2026-07-07T05:36:22Z
dc.date.available2026-07-07T05:36:22Z
dc.descriptionAn adequate characterization of the dynamics of Hamiltonian systems at physically relevant scales has been largely lacking. Here we investigate this fundamental problem and we show that the finite-scale Hamiltonian dynamics is governed by effective dynamical invariants, which are significantly different from the dynamical invariants that describe the asymptotic Hamiltonian dynamics. The effective invariants depend both on the scale of resolution and the region of the phase space under consideration, and they are naturally interpreted within a framework in which the nonhyperbolic dynamics of the Hamiltonian system is modeled as a chain of hyperbolic systems.
dc.description4 figures, Revtex
dc.identifierhttps://arxiv.org/abs/nlin/0503060
dc.identifierhttp://arxiv.org/abs/nlin/0503060
dc.identifierPhys. Rev. E 71, 036215 (2005)
dc.identifierdoi:10.1103/PhysRevE.71.036215
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80971
dc.subjectChaotic Dynamics
dc.subjectStatistical Mechanics
dc.subjectDynamical Systems
dc.titleEffective dynamics in Hamiltonian systems with mixed phase space
dc.typetext

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