We assume that a symplectic real-analytic map has an invariant normally hyperbolic cylinder and an associated transverse homoclinic cylinder. We prove that generically in the real-analytic category the boundaries of the invariant cylinder are connected by trajectories of the map
In this thesis we study two different, but related, dynamical systems on hypersurfaces of Euclidean ...
We use topological methods to investigate some recently proposed mechanisms of instability (Arnol\u2...
We use topological methods to investigate some recently proposed mechanisms of instability (Arnol\u2...
We assume that a symplectic real-analytic map has an invaria nt nor- mally hyperbolic cylinder and a...
We consider a system of infinitely many penduli on an m-dimensional lattice with a weak coupling. Fo...
Consider a symplectic map which possesses a normally hyperbolic invariant manifold of any even dimen...
In a previous work [Guzzo et al. DCDS B 5, (2005)] we have provided numerical evidence of global dif...
In a previous work [Guzzo et al. DCDS B 5, (2005)] we have provided numerical evidence of global dif...
International audienceUsing a three degrees of freedom quasi-integrable Hamiltonian as a model probl...
International audienceWe prove a form of Arnold diffusion in the a priori stable case. Let H0(p) + ε...
For a mapping of the torusT2 we propose a definition of the diffusion coefficientD suggested by the ...
Diffusion in generic quasi integrable systems at small values of the perturbing parameters has been ...
We present a general mechanism to establish the existence of diffusing orbits in a large class of ne...
In this paper we study the Arnold diffusion along a normally hyperbolic invariant manifold in a mode...
We use topological methods to investigate some recently proposed mechanisms of instability (Arnol\u2...
In this thesis we study two different, but related, dynamical systems on hypersurfaces of Euclidean ...
We use topological methods to investigate some recently proposed mechanisms of instability (Arnol\u2...
We use topological methods to investigate some recently proposed mechanisms of instability (Arnol\u2...
We assume that a symplectic real-analytic map has an invaria nt nor- mally hyperbolic cylinder and a...
We consider a system of infinitely many penduli on an m-dimensional lattice with a weak coupling. Fo...
Consider a symplectic map which possesses a normally hyperbolic invariant manifold of any even dimen...
In a previous work [Guzzo et al. DCDS B 5, (2005)] we have provided numerical evidence of global dif...
In a previous work [Guzzo et al. DCDS B 5, (2005)] we have provided numerical evidence of global dif...
International audienceUsing a three degrees of freedom quasi-integrable Hamiltonian as a model probl...
International audienceWe prove a form of Arnold diffusion in the a priori stable case. Let H0(p) + ε...
For a mapping of the torusT2 we propose a definition of the diffusion coefficientD suggested by the ...
Diffusion in generic quasi integrable systems at small values of the perturbing parameters has been ...
We present a general mechanism to establish the existence of diffusing orbits in a large class of ne...
In this paper we study the Arnold diffusion along a normally hyperbolic invariant manifold in a mode...
We use topological methods to investigate some recently proposed mechanisms of instability (Arnol\u2...
In this thesis we study two different, but related, dynamical systems on hypersurfaces of Euclidean ...
We use topological methods to investigate some recently proposed mechanisms of instability (Arnol\u2...
We use topological methods to investigate some recently proposed mechanisms of instability (Arnol\u2...
DOI
Add to ORKG