Asymptotic series for the splitting of separatrices near a Hamiltonian bifurcation

Simple item page
dc.creatorGelfreich, Vassili
dc.creatorBrannstrom, Niklas
dc.date2008-06-14
dc.date.accessioned2026-07-07T09:44:43Z
dc.date.available2026-07-07T09:44:43Z
dc.descriptionThis is a proof of an asymptotic formula which describes exponentially small splitting of separatrices in a generic analytic family of area-preserving maps near a Hamiltonian saddle-centre bifurcation. As a particular case and in combination with an earlier work on a Stokes constant for the Hénon map (Gelfreich, Sauzin (2001)), it implies exponentially small transversality of separatrices in the area-preserving Hénon family when the multiplicator of the fixed point is close to one.
dc.identifierhttps://arxiv.org/abs/0806.2403
dc.identifierhttp://arxiv.org/abs/0806.2403
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162975
dc.subjectDynamical Systems
dc.subject70K44; 70K50; 37J20
dc.titleAsymptotic series for the splitting of separatrices near a Hamiltonian bifurcation
dc.typetext

Files

Collections

arXiv