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

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor	Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
dc.contributor.author	Delshams Valdés, Amadeu
dc.contributor.author	Gonchenko, Marina
dc.contributor.author	Gonchenko, Sergey
dc.date	2016
dc.identifier.citation	Delshams, A., Gonchenko, M., Gonchenko, S. On bifurcations of homoclinic tangencies in area-preserving maps on non-orientable manifolds. A: "Difference equations, discrete dynamical systems and applications". Berlín: Springer, 2016, p. 107-125.
dc.identifier.citation	978-3-662-52926-3
dc.identifier.citation	10.1007/978-3-662-52927-0_8
dc.identifier.uri	http://hdl.handle.net/2117/101963
dc.language.iso	eng
dc.publisher	Springer
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject	Differentiable dynamical systems
dc.subject	Bifurcation
dc.subject	Homoclinic tangency
dc.subject	Area-preserving map
dc.subject	Non-orientable
dc.subject	Elliptic orbit
dc.subject	Sistemes dinàmics diferenciables
dc.subject	Òrbites
dc.title	On bifurcations of homoclinic tangencies in area-preserving maps on non-orientable manifolds
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/bookPart
dc.description.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.

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