We discuss in the context of nearly integrable Hamiltonian systems a functional analysis approach to the “splitting of separatrices ” and to the “shadowing problem”. As an application we apply our method to the problem of Arnold Diffusion for nearly integrable partially isochronous systems improving known results
This paper considers five examples of hamiltonian systems for which the existence of Arnold's mechan...
In this paper we consider the following class of Lagrangian systems: Lϵ,μ(q,˙q,Q,˙Q,t)=˙Q22+˙q22+...
The characterization of diffusion of orbits in Hamiltonian quasi- integrable systems is a relevant t...
We discuss in the context of nearly integrable Hamiltonian systems a functional analysis approach to...
We present a functional analysis approach to the “splitting of separatrices” and to the “shadowing p...
We present new recent existence results about Arnold diffusion for nearly integrable Hamiltonian sys...
This paper gives a short presentation of recent results by Berti and P. Bolle concerning Arnold diff...
We consider the problem of Arnold Diffusion for nearly integrable partially isochronous Hamiltonian ...
We present new Arnold diffusion results for non-isochronous, nearly integrable, a-priori unstable Ha...
Cornerstone models of physics, from the semi-classical mechanics in atomic and molecular physics to ...
In this lecture series, we present our results on using variational method to study Arnold diffusion...
We provide numerical evidence of global diffusion occurring in slightly perturbed integrable Hamilto...
International audienceWe prove a form of Arnold diffusion in the a priori stable case. Let H0(p) + ε...
This paper considers five examples of hamiltonian systems for which the existence of Arnold's mechan...
In this paper we consider the following class of Lagrangian systems: Lϵ,μ(q,˙q,Q,˙Q,t)=˙Q22+˙q22+...
The characterization of diffusion of orbits in Hamiltonian quasi- integrable systems is a relevant t...
We discuss in the context of nearly integrable Hamiltonian systems a functional analysis approach to...
We present a functional analysis approach to the “splitting of separatrices” and to the “shadowing p...
We present new recent existence results about Arnold diffusion for nearly integrable Hamiltonian sys...
This paper gives a short presentation of recent results by Berti and P. Bolle concerning Arnold diff...
We consider the problem of Arnold Diffusion for nearly integrable partially isochronous Hamiltonian ...
We present new Arnold diffusion results for non-isochronous, nearly integrable, a-priori unstable Ha...
Cornerstone models of physics, from the semi-classical mechanics in atomic and molecular physics to ...
In this lecture series, we present our results on using variational method to study Arnold diffusion...
We provide numerical evidence of global diffusion occurring in slightly perturbed integrable Hamilto...
International audienceWe prove a form of Arnold diffusion in the a priori stable case. Let H0(p) + ε...
This paper considers five examples of hamiltonian systems for which the existence of Arnold's mechan...
In this paper we consider the following class of Lagrangian systems: Lϵ,μ(q,˙q,Q,˙Q,t)=˙Q22+˙q22+...
The characterization of diffusion of orbits in Hamiltonian quasi- integrable systems is a relevant t...