Abstract
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.
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Pejsachowicz, J., Skiba, R. Global bifurcation of homoclinic trajectories of discrete dynamical systems. centr.eur.j.math. 10, 2088–2109 (2012). https://doi.org/10.2478/s11533-012-0121-8
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DOI: https://doi.org/10.2478/s11533-012-0121-8