Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps

Delshams Valdés, Amadeu; Gonchenko, S.V.; Lázaro Ochoa, José Tomás; Stenkin, Oleg

doi:10.1088/0951-7715/26/1/1

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Delshams Valdés, Amadeu

Gonchenko, S.V.

Lázaro Ochoa, José Tomás

Stenkin, Oleg

Document typeArticle

Defense date2013-01-01

Rights accessOpen Access

Abstract

We study dynamics and bifurcations of two-dimensional reversible maps having non-transversal heteroclinic cycles containing symmetric saddle fixed points. We consider one-parameter families of reversible maps unfolding the initial heteroclinic tangency and prove the existence of infinitely many sequences (cascades) of bifurcations and birth of asymptotically stable, unstable and elliptic periodic orbits

CitationDelshams, A. [et al.]. Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps. "Nonlinearity", 01 Gener 2013, vol. 26, p. 1-33.

URIhttp://hdl.handle.net/2117/17030

DOI10.1088/0951-7715/26/1/1

ISSN0951-7715

Publisher versionhttp://iopscience.iop.org/0951-7715/26/1/1/

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Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps

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