Topology and Homoclinic Trajectories of Discrete Dynamical Systems

Details Topology and Homoclinic Trajectories of Discrete Dynamical Systems Topology and Homoclinic Trajectories of Discrete Dynamical Systems

2011-11-06

arxiv.org/abs/1111.1402v4

Mathematics

Dynamical Systems

19 pages, canceled the appendix (Properties of the index bundle) in order to avoid any text overlap with arXiv:1005.2077

Scientific paper

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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