Add to ORKGIn this paper, we show existence of Markov covers for C² surface diffeomorphisms with a dominated splitting under some assumptions. Using a Markov cover, we can reduce the dynamics to a one-dimensional dynamical system having a good metric property. As an application, we show finiteness of periodic attractors for the above diffeomorphisms
In the paper it is proved that any orientable surface admits an orientation-preserving diffeomorphis...
Periodically forced (non-autonomous) single species population models support multiple attractors vi...
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 ...
International audienceWe prove that given a compact n-dimensional boundaryless manifold M, n >=2, th...
summary:The main focus of combinatorial dynamics is put on the structure of periodic points (and the...
International audienceWe prove that given a compact n-dimensional boundaryless manifold M, n >=2, th...
Abstract. We present a proof of the (folklore) fact that there is a residual subset of Diff1(M2) con...
This thesis is concerned with topological attractors of some quasi-periodically forced one-dimension...
AbstractHere we study an amazing phenomenon discovered by Newhouse [S. Newhouse, Non-density of Axio...
In this work we will consider a family of nonautonomous dynamical systems x(k)(+1) = f(k)(x(k), lamb...
version 2: correction of typosExtending work of Hochman, we study the almost-Borel structure, i.e., ...
In this work we will consider a family of nonautonomous dynamical systems x(k)(+1) = f(k)(x(k), lamb...
AbstractA diffeomorphism is said to have a thick attractor provided that its attractor has positive ...
summary:The main focus of combinatorial dynamics is put on the structure of periodic points (and the...
In the paper it is proved that any orientable surface admits an orientation-preserving diffeomorphis...
Periodically forced (non-autonomous) single species population models support multiple attractors vi...
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 ...
International audienceWe prove that given a compact n-dimensional boundaryless manifold M, n >=2, th...
summary:The main focus of combinatorial dynamics is put on the structure of periodic points (and the...
International audienceWe prove that given a compact n-dimensional boundaryless manifold M, n >=2, th...
Abstract. We present a proof of the (folklore) fact that there is a residual subset of Diff1(M2) con...
This thesis is concerned with topological attractors of some quasi-periodically forced one-dimension...
AbstractHere we study an amazing phenomenon discovered by Newhouse [S. Newhouse, Non-density of Axio...
In this work we will consider a family of nonautonomous dynamical systems x(k)(+1) = f(k)(x(k), lamb...
version 2: correction of typosExtending work of Hochman, we study the almost-Borel structure, i.e., ...
In this work we will consider a family of nonautonomous dynamical systems x(k)(+1) = f(k)(x(k), lamb...
AbstractA diffeomorphism is said to have a thick attractor provided that its attractor has positive ...
summary:The main focus of combinatorial dynamics is put on the structure of periodic points (and the...
In the paper it is proved that any orientable surface admits an orientation-preserving diffeomorphis...
Periodically forced (non-autonomous) single species population models support multiple attractors vi...
International audienceWe prove that given a compact n-dimensional boundaryless manifold M, n >=2, th...