Topology and Homoclinic Trajectories of Discrete Dynamical Systems
Abstract
We show that nontrivial homoclinic trajectories of a family of discrete, nonautonomous, asymptotically hyperbolic systems parametrized by a circle bifurcate from a stationary solution if the asymptotic stable bundles Es(+∞) and Es(-∞) of the linearization at the stationary branch are twisted in different ways.
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