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

Autor
Delshams, A.; Lazaro, J. Tomás; Gonchenko, V.; Gonchenko, S.; Sten'kin, O.
Tipus d'activitat
Document cientificotècnic
Data
2012-01-12
Repositori
http://hdl.handle.net/2117/14741 Obrir en finestra nova
Resum
Abstract. We study dynamics and bifurcations of two-dimensional reversible maps having non-transversal heteroclinic cycles containing symmetric saddle periodic points. We consider one-parameter families of reversible maps unfolding generally the initial heteroclinic tangency and prove that there are infinitely sequences (cascades) of bifurcations of birth of asymptotically stable and unstable as well as elliptic periodic orbits.
Citació
Delshams, A. [et al.]. "Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps". 2012.
Grup de recerca
SD - Sistemes Dinàmics

Participants

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