Archivio Istituzionale della RicercaWe show that nontrivial homoclinic trajectories of a family of dis- crete, nonautonomous, asymptotically hyperbolic systems parametrized by a circle bifurcate from a stationary solution if the asymptotic stable bundles of the linearization at the stationary branch at plus and minus infinity are twisted in different ways.
Topology and homoclinic trajectories of discrete dynamical systems / Pejsachowicz, Jacobo; Robert, Skiba. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - STAMPA. - 6:4(2013), pp. 1077-1094. [10.3934/dcdss.2013.6.1077]
Topology and homoclinic trajectories of discrete dynamical systems
PEJSACHOWICZ, JACOBO;
2013
Abstract
We show that nontrivial homoclinic trajectories of a family of dis- crete, nonautonomous, asymptotically hyperbolic systems parametrized by a circle bifurcate from a stationary solution if the asymptotic stable bundles of the linearization at the stationary branch at plus and minus infinity are twisted in different ways.
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https://hdl.handle.net/11583/2472587
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