Add to ORKGInternational audienceWe prove that given a compact n-dimensional boundaryless manifold M, n >=2, there exists a residual subset R of the space of C1 diffeomorphisms Diff such that given any chain-transitive set K of f in R then either K admits a dominated splitting or else K is contained in the closure of an infinite number of periodic sinks/sources. This result generalizes the generic dichotomy for homoclinic classes in [BDP]. It follows from the above result that given a C1-generic diffeomorphism f then either the nonwandering set Omega(f) may be decomposed into a finite number of pairwise disjoint compact sets each of which admits a dominated splitting, or else f exhibits infinitely many periodic sinks/sources (the ``C1 Newhouse phenome...
Answering a question of Smale, we prove that the space of C1 diffeomorphisms of a compact manifold c...
Let f : M → M be a Cr-diffeomorphism, r ≥ 1, deffined on a closed manifold M. We prove t...
Let f:M →M be a Cr-diffeomorphism, r ≥ 1, defined on a compact boundary-less manifold M. We prove th...
International audienceWe prove that given a compact n-dimensional boundaryless manifold M, n >=2, th...
International audienceWe prove that given a compact n-dimensional boundaryless manifold M, n >=2, th...
Abstract. We prove that given a compact n-dimensional boundaryless man-ifold M, n ≥ 2, there exists ...
We want to understand the dynamics in absence of dominated splittings. A dominated splitting is a we...
We want to understand the dynamics in absence of dominated splittings. A dominated splitting is a we...
We want to understand the dynamics in absence of dominated splittings. A dominated splitting is a we...
On veut comprendre les implications dynamiques de l'absence de décompositions dominées. Une décompos...
International audienceWe prove that there is a residual subset I of Diff such that any homoclinic cl...
AbstractHere we study an amazing phenomenon discovered by Newhouse [S. Newhouse, Non-density of Axio...
International audienceWe prove that the chain-transitive sets of C1-generic diffeomorphisms are appr...
This paper suggests a program for getting a global view of the dynamics of diffeomorphisms, from the...
This paper suggests a program for getting a global view of the dynamics of diffeomorphisms, from the...
Answering a question of Smale, we prove that the space of C1 diffeomorphisms of a compact manifold c...
Let f : M → M be a Cr-diffeomorphism, r ≥ 1, deffined on a closed manifold M. We prove t...
Let f:M →M be a Cr-diffeomorphism, r ≥ 1, defined on a compact boundary-less manifold M. We prove th...
International audienceWe prove that given a compact n-dimensional boundaryless manifold M, n >=2, th...
International audienceWe prove that given a compact n-dimensional boundaryless manifold M, n >=2, th...
Abstract. We prove that given a compact n-dimensional boundaryless man-ifold M, n ≥ 2, there exists ...
We want to understand the dynamics in absence of dominated splittings. A dominated splitting is a we...
We want to understand the dynamics in absence of dominated splittings. A dominated splitting is a we...
We want to understand the dynamics in absence of dominated splittings. A dominated splitting is a we...
On veut comprendre les implications dynamiques de l'absence de décompositions dominées. Une décompos...
International audienceWe prove that there is a residual subset I of Diff such that any homoclinic cl...
AbstractHere we study an amazing phenomenon discovered by Newhouse [S. Newhouse, Non-density of Axio...
International audienceWe prove that the chain-transitive sets of C1-generic diffeomorphisms are appr...
This paper suggests a program for getting a global view of the dynamics of diffeomorphisms, from the...
This paper suggests a program for getting a global view of the dynamics of diffeomorphisms, from the...
Answering a question of Smale, we prove that the space of C1 diffeomorphisms of a compact manifold c...
Let f : M → M be a Cr-diffeomorphism, r ≥ 1, deffined on a closed manifold M. We prove t...
Let f:M →M be a Cr-diffeomorphism, r ≥ 1, defined on a compact boundary-less manifold M. We prove th...