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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
Essential hyperbolicity and homoclinic bifurcations: a dichotomy phenomenon/mechanism for diffeomorphisms
Sylvain Crovisier, Enrique R. Pujals
We prove that any diffeomorphism of a compact manifold can be approximated in topology C1 by another diffeomorphism exhibiting a homoclinic bifurcation (a homoclinic tangency or a…