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

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10.1088/0951-7715/26/1/1
 
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hdl:2117/17030

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Delshams Valdés, AmadeuMés informacióMés informacióMés informació
Gonchenko, S.V.
Lázaro Ochoa, José TomásMés informacióMés informacióMés informació
Stenkin, Oleg
Document typeArticle
Defense date2013-01-01
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
This work is protected by the corresponding intellectual and industrial property rights. Except where otherwise noted, its contents are licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
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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