Global bifurcation of homoclinic trajectories of discrete dynamical systems

• Autorzy: Jacobo Pejsachowicz , Robert Skiba
• Języki publikacji: EN

Abstrakty

EN

We prove the existence of an unbounded connected branch of nontrivial homoclinic trajectories of a family of discrete nonautonomous asymptotically hyperbolic systems parametrized by a circle under assumptions involving topological properties of the asymptotic stable bundles.

Słowa kluczowe

EN

Homoclinics; Bifurcation; Index bundle

Kategorie tematyczne

• 58E07: Abstract bifurcation theory
• 39A28: Bifurcation theory
• 34C23: Bifurcation

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 6
• Strony: 2088-2109

Daty

wydano

2012-12-01

online

2012-10-12

Twórcy

autor

Jacobo Pejsachowicz

• Dipartamento di Matematica, Politecnico di Torino, Corso Duca Degli Abruzzi 24, 10129, Torino, Italy

autor

Robert Skiba

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100, Toruń, Poland

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Identyfikatory

DOI

10.2478/s11533-012-0121-8