Singular Cw-Expansive Flows
Dynamical Systems
2018-01-26 v1
Abstract
We study continuum-wise expansive flows with fixed points on metric spaces and low dimensional manifolds. We give sufficient conditions for a surface flow to be singular cw-expansive and examples showing that cw-expansivity does not imply expansivity. We also construct a singular Axiom A vector field on a three-manifold being singular cw-expansive and with a Lorenz attractor and a Lorenz repeller in its non-wandering set.
Cite
@article{arxiv.1801.08449,
title = {Singular Cw-Expansive Flows},
author = {Alfonso Artigue},
journal= {arXiv preprint arXiv:1801.08449},
year = {2018}
}