Global bifurcation of homoclinic trajectories of discrete dynamical systems

Jacobo Pejsachowicz; Robert Skiba

Open Mathematics (2012)

  • Volume: 10, Issue: 6, page 2088-2109
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Jacobo Pejsachowicz, and Robert Skiba. "Global bifurcation of homoclinic trajectories of discrete dynamical systems." Open Mathematics 10.6 (2012): 2088-2109. <http://eudml.org/doc/268994>.

@article{JacoboPejsachowicz2012,
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 topological properties of the asymptotic stable bundles.},
author = {Jacobo Pejsachowicz, Robert Skiba},
journal = {Open Mathematics},
keywords = {Homoclinics; Bifurcation; Index bundle; bifurcation; index bundle; hyperbolic systems; linear Fredholm operator; homoclinic trajectories; topological degree},
language = {eng},
number = {6},
pages = {2088-2109},
title = {Global bifurcation of homoclinic trajectories of discrete dynamical systems},
url = {http://eudml.org/doc/268994},
volume = {10},
year = {2012},
}

TY - JOUR
AU - Jacobo Pejsachowicz
AU - Robert Skiba
TI - Global bifurcation of homoclinic trajectories of discrete dynamical systems
JO - Open Mathematics
PY - 2012
VL - 10
IS - 6
SP - 2088
EP - 2109
AB - 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.
LA - eng
KW - Homoclinics; Bifurcation; Index bundle; bifurcation; index bundle; hyperbolic systems; linear Fredholm operator; homoclinic trajectories; topological degree
UR - http://eudml.org/doc/268994
ER -

References

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