Topology and Homoclinic Trajectories of Discrete Dynamical Systems
arXiv:1111.1402
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.
arXiv comment19 pages, canceled the appendix (Properties of the index bundle) in order to avoid any text overlap with arXiv:1005.2077