First homoclinic tangencies in the boundary of Anosov diffeomorphisms
type: Item
instance of: scholarly article
title: First homoclinic tangencies in the boundary of Anosov diffeomorphisms
zbMATH Open document ID: 0963.37028
published in: Discrete and Continuous Dynamical Systems
publication date: 2000-08-16T00:00:00Z
review text: Let \(f:M\to M\) be an Anosov diffeomorphism on a compact connected Riemannian manifold \(M\) of dimension two. The main goal of this note is the analysis of the generic ways \(f\) has to lose hyperbolicity and the construction of a path, from \(f\) to the boundary of its stability component, that ends with a diffeomorphism exhibiting a cubic homoclinic tangency.
Mathematics Subject Classification ID: 37D20
Mathematics Subject Classification ID: 37C29
zbMATH DE Number: 1492553
zbMATH Keywords: Anosov diffeomorphism
zbMATH Keywords: hyperbolicity
zbMATH Keywords: homoclinic tangency
author: Maria Pires de Carvalho
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: dcds.1998.4.765
OpenAlex ID: W2042594922
DOI: 10.3934/DCDS.1998.4.765
description: scientific article; zbMATH DE number 1492553