2018/01/25 by Artigue, Alfonso
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.1801.08449
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.