Singular Cw-Expansive Flows (1801.08449v1)

Published 25 Jan 2018 in math.DS

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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Authors (1)

Alfonso Artigue

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