Dominated Splittings for Flows with singularities
Dynamical Systems
2015-03-19 v8 Classical Analysis and ODEs
Abstract
We obtain sufficient conditions for an invariant splitting over a compact invariant subset of a flow to be dominated. In particular, we reduce the requirements to obtain sectional hyperbolicity and hyperbolicity.
Keywords
Cite
@article{arxiv.1103.5637,
title = {Dominated Splittings for Flows with singularities},
author = {Vitor Araujo and Alexander Arbieto and Luciana Salgado},
journal= {arXiv preprint arXiv:1103.5637},
year = {2015}
}
Comments
15 pages, 4 figures; streamlined presentation; statement and proof of main theorem corrected; included new application to obtain hyperbolicity for three-dimensional flows; some corrections suggested by the referee