On bifurcations of homoclinic tangencies in area-preserving maps on non-orientable manifolds

All of RECERCAT

To access the full text documents, please follow this link: http://hdl.handle.net/2117/101963

Title:	On bifurcations of homoclinic tangencies in area-preserving maps on non-orientable manifolds
Author:	Delshams Valdés, Amadeu; Gonchenko, Marina; Gonchenko, Sergey
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
Abstract:	We study bifurcations of non-orientable area-preserving maps with quadratic homoclinic tangencies. We study the case when the maps are given on non-orientable two-dimensional manifolds. We consider one and two parameter general unfoldings and establish results related to the appearance of elliptic periodic orbits.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Differentiable dynamical systems -Bifurcation -Homoclinic tangency -Area-preserving map -Non-orientable -Elliptic orbit -Sistemes dinàmics diferenciables -Òrbites
Rights:	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Published version Book Part
Published by:	Springer
Share: