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arXiv · 1801.08449

Singular Cw-Expansive Flows

Alfonso Artigue
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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.

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Alfonso Artigue. 2018-01-25. Singular Cw-Expansive Flows. https://arxiv.org/abs/1801.08449

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