Homoclinic points of symplectic partially hyperbolic systems with 2D centre

Fuente: arXiv
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Autor principal: Zhang, Pengfei
Formato: Preprint
Publicado: 2015
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author Zhang, Pengfei
author_facet Zhang, Pengfei
contents We consider a generic symplectic partially hyperbolic diffeomorphism close to direct/skew products of symplectic Anosov diffeomorphisms with area-preserving diffeomorphisms and prove that every hyperbolic periodic point has transverse homoclinic points.
format Preprint
id arxiv_https___arxiv_org_abs_1510_05922
institution arXiv
publishDate 2015
record_format arxiv
spellingShingle Homoclinic points of symplectic partially hyperbolic systems with 2D centre
Zhang, Pengfei
Dynamical Systems
37C29, 37C20, 37D30
We consider a generic symplectic partially hyperbolic diffeomorphism close to direct/skew products of symplectic Anosov diffeomorphisms with area-preserving diffeomorphisms and prove that every hyperbolic periodic point has transverse homoclinic points.
title Homoclinic points of symplectic partially hyperbolic systems with 2D centre
topic Dynamical Systems
37C29, 37C20, 37D30
url https://arxiv.org/abs/1510.05922