KAM theorem doesn't ensure stability for dynamical systems close to integrable Hamiltonian systems when the dimension of the phase space is more than four . In this case, irregular unstable orbits may occur, arbitrarily close to stable invariant tori . This is the Arnold diffusion . We study here some suf£icient conditions which guarantee the existence of this diffusion
This paper gives a short presentation of recent results by Berti and P. Bolle concerning Arnold diff...
The problem of stability of the action variables (\ie of the adiabatic invariants) in perturbations ...
Local integrability of hyperbolic oscillators is discussed to provide an introductory example of the...
KAM theorem doesn't ensure stability for dynamical systems close to integrable Hamiltonian systems w...
We present new Arnold diffusion results for non-isochronous, nearly integrable, a-priori unstable Ha...
We present new Arnold diffusion results for non-isochronous, nearly integrable, a-priori unstable Ha...
We consider a nearly integrable, non-isochronous, a-priori unstable Hamiltonian system with a (trigo...
We consider a nearly integrable, non-isochronous, a-priori unstable Hamiltonian system with a (trigo...
AbstractWe consider nonisochronous, nearly integrable, a priori unstable Hamiltonian systems with a ...
We consider nonisochronous, nearly integrable, a priori unstable Hamiltonian systems with a (trigono...
We consider nonisochronous, nearly integrable, a priori unstable Hamiltonian systems with a (trigono...
We consider nonisochronous, nearly integrable, a priori unstable Hamiltonian systems with a (trigono...
We consider nonisochronous, nearly integrable, a priori unstable Hamiltonian systems with a (trigono...
International audienceWe prove a form of Arnold diffusion in the a priori stable case. Let H0(p) + ε...
This paper gives a short presentation of recent results by Berti and P. Bolle concerning Arnold diff...
This paper gives a short presentation of recent results by Berti and P. Bolle concerning Arnold diff...
The problem of stability of the action variables (\ie of the adiabatic invariants) in perturbations ...
Local integrability of hyperbolic oscillators is discussed to provide an introductory example of the...
KAM theorem doesn't ensure stability for dynamical systems close to integrable Hamiltonian systems w...
We present new Arnold diffusion results for non-isochronous, nearly integrable, a-priori unstable Ha...
We present new Arnold diffusion results for non-isochronous, nearly integrable, a-priori unstable Ha...
We consider a nearly integrable, non-isochronous, a-priori unstable Hamiltonian system with a (trigo...
We consider a nearly integrable, non-isochronous, a-priori unstable Hamiltonian system with a (trigo...
AbstractWe consider nonisochronous, nearly integrable, a priori unstable Hamiltonian systems with a ...
We consider nonisochronous, nearly integrable, a priori unstable Hamiltonian systems with a (trigono...
We consider nonisochronous, nearly integrable, a priori unstable Hamiltonian systems with a (trigono...
We consider nonisochronous, nearly integrable, a priori unstable Hamiltonian systems with a (trigono...
We consider nonisochronous, nearly integrable, a priori unstable Hamiltonian systems with a (trigono...
International audienceWe prove a form of Arnold diffusion in the a priori stable case. Let H0(p) + ε...
This paper gives a short presentation of recent results by Berti and P. Bolle concerning Arnold diff...
This paper gives a short presentation of recent results by Berti and P. Bolle concerning Arnold diff...
The problem of stability of the action variables (\ie of the adiabatic invariants) in perturbations ...
Local integrability of hyperbolic oscillators is discussed to provide an introductory example of the...
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