Topology and Homoclinic Trajectories of Discrete Dynamical Systems
Dynamical Systems
2012-01-31 v4 Functional Analysis
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.
Keywords
Cite
@article{arxiv.1111.1402,
title = {Topology and Homoclinic Trajectories of Discrete Dynamical Systems},
author = {Jacobo Pejsachowicz and Robert Skiba},
journal= {arXiv preprint arXiv:1111.1402},
year = {2012}
}
Comments
19 pages, canceled the appendix (Properties of the index bundle) in order to avoid any text overlap with arXiv:1005.2077