Global bifurcation of homoclinic trajectories of discrete dynamical systems

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 the topological properties of the asymptotic stable bundles.

28 pages. arXiv admin note: text overlap with arXiv:1111.1402