On dynamics and bifurcations of area-preserving maps with homoclinic tangencies

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Title:	On dynamics and bifurcations of area-preserving maps with homoclinic tangencies
Author:	Delshams Valdés, Amadeu; Gonchenko, Marina; Gonchenko, Sergey V.
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
Abstract:	We study bifurcations of area-preserving maps, both orientable (symplectic) and non-orientable, with quadratic homoclinic tangencies. We consider one and two parameter general unfoldings and establish results related to the appearance of elliptic periodic orbits. In particular, we find conditions for such maps to have infinitely many generic (KAM-stable) elliptic periodic orbits of all successive periods starting at some number.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Astrodynamics and satellite systems -homoclinic tangency -area preserving mapping -bifurcation -Astrodinàmica
Rights:	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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