126 citations
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Showing 2010 · math.DSShow all
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math.DS2010★ 1 cited
Perturbations of C1-diffeomorphisms and dynamics of generic conservative diffeomorphisms of surface
Sylvain Crovisier
In the first part of this text we give a survey of the properties satisfied by the C1-generic conservative diffeomorphisms of compact surfaces. The main result that we will discuss…
math.DS2010★ 6 cited
Internal perturbations of homoclinic classes:non-domination, cycles, and self-replication
Ch. Bonatti, S. Crovisier, L. J. Díaz +1
Conditions are provided under which lack of domination of a homoclinic class yields robust heterodimensional cycles. Moreover, so-called viral homoclinic classes are studied. Viral…