Isotopy of sympletic balls, Gromov' s radius and the structure of ruled symplectic 4-manifolds.
Isotropic characteristic classes
Jordan obstruction to the integrability of Hamiltonian systems with homogeneous potentials
In this paper, we consider the natural complex Hamiltonian systems with homogeneous potential , , of degree . The known results of Morales and Ramis give necessary conditions for the complete integrability of such systems. These conditions are expressed in terms of the eigenvalues of the Hessian matrix calculated at a non-zero point , such that . The main aim of this paper is to show that there are other obstructions for the integrability which appear if the matrix is not diagonalizable....
Kac-Moody groups and integrability of soliton equations.
KAM theory in configuration space.
KAM Tori and Quantum Birkhoff Normal Forms
This talk is concerned with the Kolmogorov-Arnold-Moser (KAM) theorem in Gevrey classes for analytic hamiltonians, the effective stability around the corresponding KAM tori, and the semi-classical asymptotics for Schrödinger operators with exponentially small error terms. Given a real analytic Hamiltonian close to a completely integrable one and a suitable Cantor set defined by a Diophantine condition, we find a family , of KAM invariant tori of with frequencies which is Gevrey smooth with...
L2 -characteristic classes of Maslov–Trofimov of hamiltonian systems on the Lie algebra of the upper-triangular matrices
We generalize the construction of Maslov-Trofimov characteristic classes to the case of some G-manifolds and use it to study certain hamiltonian systems.
La dynamique au voisinage d'un point fixe elliptique conservatif : de Poincaré et Birkhoff à Aubry et Mather
La réduction symplectique appliquée à la non-intégrabilité du problème du satellite
La théorie des catastrophes. V. Transformées de Legendre et thermodynamique
La trilogie du moment
A toute deux-forme fermée, sur une variété connexe, on associe une famille d’extensions centrales du groupe de ses automorphismes par son tore des périodes. On discute ensuite quelques propriétés de cette construction.
Lagrange schwarzian derivative and symplectic Sturm theory
Lagrangian embeddings and critical point theory
Lagrangian singularities of invariant tori of hamiltonian systems with two degrees of freedom.
Lagrangian theory for presymplectic systems
Lagrangian tori in a sympletic vector space and global symplectomorphisms.
Large energy simple modes for a class of Kirchhoff equations.
Laurent polynomials and superintegrable maps.
Lax equation representation of certain completely integrable systems
Le «closing lemma» en topologie