Transitivity and topological mixing for C1 diffeomorphisms

Details Transitivity and topological mixing for C1 diffeomorphisms Transitivity and topological mixing for C1 diffeomorphisms

2011-11-17

arxiv.org/abs/1111.4206v1

Mathematics

Dynamical Systems

Scientific paper

We prove that, on connected compact manifolds, both C1-generic conservative
diffeomorphisms and C1-generic transitive diffeomorphisms are topologically
mixing. This is obtained through a description of the periods of a homoclinic
class and by a control of the period of the periodic points given by the
closing lemma.

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