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