Sectional-Anosov flows in higher dimensions
Dynamical Systems
2013-09-02 v1
Abstract
A sectional-Anosov flow on a manifold M is a C^1 vector field inwardly transverse to the boundary for which the maximal invariant is sectional-hyperbolic. We prove that every attractor of every vector field C^1 close to a transitive sectional-Anosov flow with singularities on a compact manifold has a singularity. This extends the three-dimensional result obtained in [Morales, C.A., The explosion of singular-hyperbolic attractors].
Cite
@article{arxiv.1308.6597,
title = {Sectional-Anosov flows in higher dimensions},
author = {A. M. López},
journal= {arXiv preprint arXiv:1308.6597},
year = {2013}
}