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

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Título:	On dynamics and bifurcations of area-preserving maps with homoclinic tangencies
Autor/a:	Delshams Valdés, Amadeu; Gonchenko, Marina; Gonchenko, Sergey V.
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics
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
Materia(s):	Àrees temàtiques de la UPC::Matemàtiques i estadística Astrodynamics and satellite systems homoclinic tangency area preserving mapping bifurcation Astrodinàmica
Derechos:	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Tipo de documento:	info:eu-repo/semantics/submittedVersion Artículo
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