We prove upper and lower bounds on the splitting for a class of a-priori stable Hamiltonian systems, in regions of the phase space characterized by one fast frequency. Finally using an appropriate Normal Form theorem we prove the existence of chains of heteroclinic intersections
We consider a nearly integrable, non-isochronous, a-priori unstable Hamiltonian system with a (trigo...
Using a three degrees of freedom quasi-integrable Hamiltonian as a model problem, we numerically com...
In this work we illustrate the Arnold diffusion in a concrete example — the a priori unstable Hamilt...
We prove upper and lower bounds on the splitting for a class of a-priori stable Hamiltonian systems,...
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 consider several Hamiltonian systems for which the existence of Arnold's mechanism for diffusion ...
AbstractWe consider several Hamiltonian systems for which the existence of Arnold's mechanism for di...
We consider the problem of Arnold’s diffusion for nearly integrable isochronous Hamiltonian systems....
AbstractWe study the problem of exponentially small splitting of separatrices of one degree of freed...
In this paper we study the problem of exponentially small splitting of separatrices of one degree of...
. Interacting systems consisting of two rotators and a point mass near a hyperbolic fixed point are ...
A detailed numerical study is presented of the slow diffusion (Arnold diffusion) taking place around...
We consider families of one and a half degrees of freedom Hamiltonians with high frequency periodic ...
In this paper we study a generalization of Arnold's original example in which he discussed the exist...
We consider a nearly integrable, non-isochronous, a-priori unstable Hamiltonian system with a (trigo...
Using a three degrees of freedom quasi-integrable Hamiltonian as a model problem, we numerically com...
In this work we illustrate the Arnold diffusion in a concrete example — the a priori unstable Hamilt...
We prove upper and lower bounds on the splitting for a class of a-priori stable Hamiltonian systems,...
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 consider several Hamiltonian systems for which the existence of Arnold's mechanism for diffusion ...
AbstractWe consider several Hamiltonian systems for which the existence of Arnold's mechanism for di...
We consider the problem of Arnold’s diffusion for nearly integrable isochronous Hamiltonian systems....
AbstractWe study the problem of exponentially small splitting of separatrices of one degree of freed...
In this paper we study the problem of exponentially small splitting of separatrices of one degree of...
. Interacting systems consisting of two rotators and a point mass near a hyperbolic fixed point are ...
A detailed numerical study is presented of the slow diffusion (Arnold diffusion) taking place around...
We consider families of one and a half degrees of freedom Hamiltonians with high frequency periodic ...
In this paper we study a generalization of Arnold's original example in which he discussed the exist...
We consider a nearly integrable, non-isochronous, a-priori unstable Hamiltonian system with a (trigo...
Using a three degrees of freedom quasi-integrable Hamiltonian as a model problem, we numerically com...
In this work we illustrate the Arnold diffusion in a concrete example — the a priori unstable Hamilt...
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