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math.DS2012
Global bifurcation of homoclinic trajectories of discrete dynamical systems
Jacobo Pejsachowicz, Robert Skiba
We prove the existence of an unbounded connected branch of nontrivial homoclinic trajectories of a family of discrete nonautonomous asymptotically hyperbolic systems parametrized b…
math.DS2011
Topology and Homoclinic Trajectories of Discrete Dynamical Systems
Jacobo Pejsachowicz, Robert Skiba
We show that nontrivial homoclinic trajectories of a family of discrete, nonautonomous, asymptotically hyperbolic systems parametrized by a circle bifurcate from a stationary solut…