Robust Transitivity and Topological Mixing for C-flows

Abstract

We prove that non-trivial homoclinic classes of C-generic flows are topologically mixing. This implies that given Λ a non-trivial Crobustly transitive set of a vector field X , there is a C-perturbation Y of X such that the continuation ΛY of Λ is a topologically mixing set for Y . In particular, robustly transitive flows become topologically mixing after C… (More)

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