Width of homoclinic zone for quadratic maps

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dc.creatorGelfreich, Vassili
dc.creatorNaudot, Vincent
dc.date2008-05-02
dc.date.accessioned2026-07-07T09:36:52Z
dc.date.available2026-07-07T09:36:52Z
dc.descriptionWe study several families of planar quadratic diffeomorphisms near a Bogdanov-Takens bifurcation. For each family, the associate bifurcation diagram can be deduced from the interpolating flow. However, a zone of chaos confined between two lines of homoclinic bifurcation that are exponentially close to one-another is observed. The goal of this paper is to test numerically an accurate asymptotic expansion for the width of this chaotic zone for different families.
dc.identifierhttps://arxiv.org/abs/0805.0324
dc.identifierhttp://arxiv.org/abs/0805.0324
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160267
dc.subjectDynamical Systems
dc.subject37D45, 37E30, 37G10
dc.titleWidth of homoclinic zone for quadratic maps
dc.typetext

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