Sylvain Crovisier
University of Paris-Sud
107 Papers
869 Citations
Sylvain Crovisier is an academic researcher from University of Paris-Sud. The author has contributed to research in topics: Homoclinic orbit & Ergodic theory. The author has an hindex of 24, co-authored 100 publications. Previous affiliations of Sylvain Crovisier include Centre national de la recherche scientifique & Département de Mathématiques.
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Papers
Recurrence and genericity
TL;DR: In this paper, the authors prove a C^1-connecting lemma for pseudo-orbites of diffeomorphisms on compact manifolds and explore some consequences for C^ 1-generic diffomorphisms.
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Récurrence et généricité
TL;DR: In this paper, a lemme de connexion C = 1 for the pseudo-orbites des diffeomorphismes des varietes compactes is presented.
261
Birth of homoclinic intersections: a model for the central dynamics of partially hyperbolic systems
TL;DR: In this article, a conjecture de J. Palis is introduced: tout diffeomorphisme d'une variete compacte peut etre approche en topologie C 1 par un diffeomorphic morphisme Morse-Smale or par un Diffeomorphismse ayant une intersection homocline transverse.
68
Essential hyperbolicity and homoclinic bifurcations: a dichotomy phenomenon/mechanism for diffeomorphisms
TL;DR: In this article, it was shown that any diffeomorphism of a compact manifold can be approximated in the $$C^1$$ topology of the manifold with respect to a homoclinic bifurcation or a heterodimensional cycle by one which is essentially hyperbolic.
66
Partial hyperbolicity and homoclinic tangencies
TL;DR: In this article, it was shown that any diffeomorphism of a compact manifold can be approximated by a homoclinic tangency or by a partial hyperbolic structure.
57