Global bifurcation of homoclinic trajectories of discrete dynamical systems
Dynamical Systems
2012-09-10 v2 Functional Analysis
Abstract
We prove the existence of an unbounded connected branch of nontrivial homoclinic trajectories of a family of discrete nonautonomous asymptotically hyperbolic systems parametrized by a circle under assumptions involving the topological properties of the asymptotic stable bundles.
Keywords
Cite
@article{arxiv.1209.0809,
title = {Global bifurcation of homoclinic trajectories of discrete dynamical systems},
author = {Jacobo Pejsachowicz and Robert Skiba},
journal= {arXiv preprint arXiv:1209.0809},
year = {2012}
}
Comments
28 pages. arXiv admin note: text overlap with arXiv:1111.1402