Global bifurcation of homoclinic trajectories of discrete dynamical systems
classification
🧮 math.DS
math.FA
keywords
discretehomoclinicsystemstrajectoriesassumptionsasymptoticasymptoticallybifurcation
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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.
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