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arXiv · 1111.1402

Topology and Homoclinic Trajectories of Discrete Dynamical Systems

Jacobo Pejsachowicz·Robert Skiba
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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(+{\infty}) and Es(-{\infty}) of the linearization at the stationary branch are twisted in different ways.

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Jacobo Pejsachowicz, Robert Skiba. 2011-11-06. Topology and Homoclinic Trajectories of Discrete Dynamical Systems. https://arxiv.org/abs/1111.1402

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