Robust Transitivity and Topological Mixing for C 1 -flows

Abstract

We prove that non-trivial homoclinic classes of C 1-generic flows are topo-logically mixing. This implies that given Λ a non-trivial C 1-robustly transitive set of a vector field X, there is a C 1-perturbation Y of X such that the continuation Λ Y of Λ is a topologically mixing set for Y. In particular, robustly transitive flows become topologically mixing… (More)

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