Arnold's Diffusion in nearly integrable isochronous Hamiltonian systems

Simple item page
dc.creatorBerti, Massimiliano
dc.creatorBolle, Philippe
dc.date2000-11-02
dc.date.accessioned2026-07-07T04:38:26Z
dc.date.available2026-07-07T04:38:26Z
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 develop a new method for measuring the splitting of the separatrices. As an application we justify, for three time scales systems, that the splitting is correctly predicted by the Poincaré-Melnikov function.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/math/0011017
dc.identifierhttp://arxiv.org/abs/math/0011017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60275
dc.subjectDynamical Systems
dc.subjectSymplectic Geometry
dc.titleArnold's Diffusion in nearly integrable isochronous Hamiltonian systems
dc.typetext

Files

Collections

arXiv