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 topological properties of the asymptotic stable bundles.
@article{bwmeta1.element.doi-10_2478_s11533-012-0121-8,
author = {Jacobo Pejsachowicz and Robert Skiba},
title = {Global bifurcation of homoclinic trajectories of discrete dynamical systems},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {2088-2109},
zbl = {1269.39004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0121-8}
}
Jacobo Pejsachowicz; Robert Skiba. Global bifurcation of homoclinic trajectories of discrete dynamical systems. Open Mathematics, Tome 10 (2012) pp. 2088-2109. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0121-8/
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