Diffusion time and splitting of separatrices for nearly integrable isochronous Hamiltonian systems

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dc.creatorBerti, Massimiliano
dc.creatorBolle, Philippe
dc.date2000-09-19
dc.date.accessioned2026-07-07T04:37:36Z
dc.date.available2026-07-07T04:37:36Z
dc.descriptionWe consider the problem of Arnold's diffusion for nearly integrable isochronous Hamiltonian systems. We prove a shadowing theorem which improves the known estimates for the diffusion time. We also justify for three time scales systems that the splitting of the separatrices is correctly predicted by the Poincare'-Melnikov function.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0009176
dc.identifierhttp://arxiv.org/abs/math/0009176
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59962
dc.subjectDynamical Systems
dc.subjectSymplectic Geometry
dc.subject34C15, 34C29, 34C37, 58F30, 70H05
dc.titleDiffusion time and splitting of separatrices for nearly integrable isochronous Hamiltonian systems
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