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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

Publication date

2016

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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.

Postprint (published version)

Document Type

Part of book or chapter of book

Language

English

Subjects and keywords

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

Publisher

Springer

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Rights

http://creativecommons.org/licenses/by-nc-nd/3.0/es/

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E-prints [73026]