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

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hdl:2117/17030
Document typeArticle
Defense date2013-01-01
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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.
ISSN0951-7715
Publisher versionhttp://iopscience.iop.org/0951-7715/26/1/1/
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