Low dimensional bifurcations of snap-back repellors
Dynamical Systems
2013-09-17 v1
Abstract
We study the relationship between homoclinic orbits associated to repellors, usually called snap-back repellors, and expanding sets of smooth endomorphisms. Critical homoclinic orbits constitutes an interesting bifurcation that is locally contained in the boundary of the set of maps having homoclinic orbits. This and other possible routes to the creation of homoclinic orbits are considered in low dimensions.
Cite
@article{arxiv.1309.3780,
title = {Low dimensional bifurcations of snap-back repellors},
author = {Alfonso Artigue},
journal= {arXiv preprint arXiv:1309.3780},
year = {2013}
}