d...-Cohomology of Lagrangian Foliations.
Décomposition des difféomorphismes du tore en applications déviant la verticale (avec un appendice en collaboration avec Jean-Marc Gambaudo)
Dédoublement de courbes invariantes sur le cylindre : petits diviseurs
Deformations of the algebra of functions on hermitian symmetric spaces resulting from quantization
Degeneration of Riemann surfaces and intermediate polarization of the moduli space of flat connections.
Dénombrement de géodésiques fermées, sous contraintes homologiques
Density of chaotic dynamics in periodically forced pendulum-type equations
We announce that a class of problems containing the classical periodically forced pendulum equation displays the main features of chaotic dynamics for a dense set of forcing terms in a space of periodic functions with zero mean value. The approach is based on global variational methods.
Der Indexsatz für geschlossene Geodätische.
Dérivabilité du plus grand exposant caractéristique des produits de matrices aléatoires indépendantes à coefficients positifs
Description lagrangienne d'un boson scalaire à l'aide d'un triplet nucléaire
Diffusion time and splitting of separatrices for nearly integrable isochronous Hamiltonian systems
We consider the problem of Arnold’s diffusion for nearly integrable isochronous Hamiltonian systems. We prove a shadowing theorem which improves the known estimates for the diffusion time. We also justify for three time scales systems that the splitting of the separatrices is correctly predicted by the Poincaré-Melnikov function.
Diffusion times and stability exponents for nearly integrable analytic systems
For a positive integer n and R>0, we set . Given R>1 and n≥4 we construct a sequence of analytic perturbations (H j) of the completely integrable Hamiltonian on , with unstable orbits for which we can estimate the time of drift in the action space. These functions H j are analytic on a fixed complex neighborhood V of , and setting the time of drift of these orbits is smaller than (C(1/ɛ j)1/2(n-3)) for a fixed constant c>0. Our unstable orbits stay close to a doubly resonant surface,...
Discontinuous Hamiltonian flows for nonlinear control system.
Discrete Euler-Poincaré and Euler Poincaré-Poisson equations for semidirect products and principal bundles.
Discrete isothermic surfaces.
Dissipative Systems on Manifolds.
Divergences in formal variational calculus and boundary terms in Hamiltonian formalism
It is shown how to extend the formal variational calculus in order to incorporate integrals of divergences into it. Such a generalization permits to study nontrivial boundary problems in field theory on the base of canonical formalism.
Do all integrable equations satisfy integrability criteria?
Drift and diffusion in phase space
Drinfel'd doubles and Ehresmann doubles for Lie algebroids and Lie bialgebroids.