International audienceWhen a Gevrey smooth perturbation is applied to a quasi-convex integrable Hamiltonian, it is known that the KAM invariant tori that survive are "sticky", i.e. doubly exponentially stable. We show by examples the optimality of this effective stability
In this paper, sufficiently smooth Hamiltonian systems with perturbations are considered. By combini...
Abstract. The classical KAM theorem establishes the persistence of invariant Lagrangean tori in near...
AbstractA perturbation problem for hyperbolic invariant tori is considered, and a KAM type theorem a...
International audienceWhen a Gevrey smooth perturbation is applied to a quasi-convex integrable Hami...
The two main stability results for nearly integrable Hamiltonian systems are revisited: Nekhoroshev...
AbstractThe two main stability results for nearly-integrable Hamiltonian systems are revisited: Nekh...
We consider families of dynamical systems having invariant tori that carry quasi-periodic motions. O...
AbstractIn this paper we prove Gevrey smoothness of the persisting invariant tori for small perturba...
The classical KAM theorem establishes the persistence of invariant Lagrangean tori in nearly integra...
We consider a near-integrable Hamiltonian system in the action-angle variables with analytic Hamilto...
We point out a deep connection between KAM theorem and Nekhoroshev's theorem. Precisely, we reformul...
We give a detailed statement of a KAM theorem about the conservation of partially hyperbolic tori on...
The two main stability results for nearly-integrable Hamiltonian systems are revisited: Nekhoroshev ...
International audienceIn this paper, we investigate perturbations of linear integrable Hamiltonian s...
We consider Gevrey perturbations H of a completely integrable Gevrey Hamiltonian H0. Given a Cantor ...
In this paper, sufficiently smooth Hamiltonian systems with perturbations are considered. By combini...
Abstract. The classical KAM theorem establishes the persistence of invariant Lagrangean tori in near...
AbstractA perturbation problem for hyperbolic invariant tori is considered, and a KAM type theorem a...
International audienceWhen a Gevrey smooth perturbation is applied to a quasi-convex integrable Hami...
The two main stability results for nearly integrable Hamiltonian systems are revisited: Nekhoroshev...
AbstractThe two main stability results for nearly-integrable Hamiltonian systems are revisited: Nekh...
We consider families of dynamical systems having invariant tori that carry quasi-periodic motions. O...
AbstractIn this paper we prove Gevrey smoothness of the persisting invariant tori for small perturba...
The classical KAM theorem establishes the persistence of invariant Lagrangean tori in nearly integra...
We consider a near-integrable Hamiltonian system in the action-angle variables with analytic Hamilto...
We point out a deep connection between KAM theorem and Nekhoroshev's theorem. Precisely, we reformul...
We give a detailed statement of a KAM theorem about the conservation of partially hyperbolic tori on...
The two main stability results for nearly-integrable Hamiltonian systems are revisited: Nekhoroshev ...
International audienceIn this paper, we investigate perturbations of linear integrable Hamiltonian s...
We consider Gevrey perturbations H of a completely integrable Gevrey Hamiltonian H0. Given a Cantor ...
In this paper, sufficiently smooth Hamiltonian systems with perturbations are considered. By combini...
Abstract. The classical KAM theorem establishes the persistence of invariant Lagrangean tori in near...
AbstractA perturbation problem for hyperbolic invariant tori is considered, and a KAM type theorem a...
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