Robust transitivity and topological mixing for $C^1$-flows
نویسندگان
چکیده
منابع مشابه
Robust Transitivity and Topological Mixing for C 1 -flows
We prove that non-trivial homoclinic classes of C r-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 after C 1-perturbations. These results...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2003
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-03-07187-9