Width of homoclinic zone for quadratic maps

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We 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.

Keywords

Dynamical Systems, 37D45, 37E30, 37G10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/160267

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0805.0324
 http://arxiv.org/abs/0805.0324

Collections

arXiv