Add to ORKGWe consider the quintic nonlinear Schrödinger on the circle. By applying a Birkhoff procedure and a KAM theorem, we exihibit a three dimension invariant torus that is linearly unstable. In comparison, we also prove that two dimensional tori are always linearly stable
The theory of extensions of the dynamical equations on the torus is an important section of the theo...
Motivated by the problem of long time stability vs. instability of KAM tori of the Nonlinear cubic S...
We define and describe the class of quasi-Toplitz functions. We then prove an abstract KAM theorem w...
International audienceWe prove that a system of coupled nonlinear Schrödinger equations on the torus...
International audienceIn this paper we prove a KAM result for the non linear beam equation on the d-...
The systems of coupled NLS equations occur in some physical problems, in particular in nonlinear opt...
Motivated by the Lagrange top coupled to an oscillator, we consider the quasi-periodic Hamiltonian H...
We give a detailed statement of a KAM theorem about the conservation of partially hyperbolic tori on...
We prove the persistence of finite dimensional invariant tori associated with the defocusing nonline...
Abstract: Motivated by the Lagrange top coupled to an oscillator, we consider the quasi-periodic Ham...
In this dissertation, we study cubic and quintic nonlinear Schrödinger systems on 3-dimensional tori...
The authors prove the long time stability of KAM tori (thus quasi-periodic solutions) for nonlinear ...
In this PhD thesis we prove a KAM result for the nonlinear wave equation on the circle. The equation...
35 pagesInternational audienceWhen a Gevrey smooth perturbation is applied to a quasi-convex integra...
We consider families of dynamical systems having invariant tori that carry quasi-periodic motions. O...
The theory of extensions of the dynamical equations on the torus is an important section of the theo...
Motivated by the problem of long time stability vs. instability of KAM tori of the Nonlinear cubic S...
We define and describe the class of quasi-Toplitz functions. We then prove an abstract KAM theorem w...
International audienceWe prove that a system of coupled nonlinear Schrödinger equations on the torus...
International audienceIn this paper we prove a KAM result for the non linear beam equation on the d-...
The systems of coupled NLS equations occur in some physical problems, in particular in nonlinear opt...
Motivated by the Lagrange top coupled to an oscillator, we consider the quasi-periodic Hamiltonian H...
We give a detailed statement of a KAM theorem about the conservation of partially hyperbolic tori on...
We prove the persistence of finite dimensional invariant tori associated with the defocusing nonline...
Abstract: Motivated by the Lagrange top coupled to an oscillator, we consider the quasi-periodic Ham...
In this dissertation, we study cubic and quintic nonlinear Schrödinger systems on 3-dimensional tori...
The authors prove the long time stability of KAM tori (thus quasi-periodic solutions) for nonlinear ...
In this PhD thesis we prove a KAM result for the nonlinear wave equation on the circle. The equation...
35 pagesInternational audienceWhen a Gevrey smooth perturbation is applied to a quasi-convex integra...
We consider families of dynamical systems having invariant tori that carry quasi-periodic motions. O...
The theory of extensions of the dynamical equations on the torus is an important section of the theo...
Motivated by the problem of long time stability vs. instability of KAM tori of the Nonlinear cubic S...
We define and describe the class of quasi-Toplitz functions. We then prove an abstract KAM theorem w...