Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods.
Constrained lagrangian submanifolds over singular constraining varieties and discriminant varieties
Constructibilité des solutions des systèmes microdifférentiels
Contact geometry and complex surfaces.
Contact hamiltonians distinguishing locally certain Goursat systems
For the first time in dimension 9, the Goursat distributions are not locally smoothly classified by their small growth vector at a point. As shown in [M1], in dimension 9 of the underlying manifold 93 different local behaviours are possible and four irregular pairs of them have coinciding small growth vectors. In the present paper we distinguish geometrically objects in three of those pairs. Smooth functions in three variables - contact hamiltonians in the terminology of Arnold, [A] - help to do...
Continuation of relative periodic orbits in a class of triatomic hamiltonian systems
Contraintes génériques en géométrie de contact
Convergence of Birkhoff normal forms for integrable systems.
Convergence results for periodic solutions of nonautonomous Hamiltonian systems
We prove some stability results for a certain class of periodic solutions of nonautonomous Hamiltonian systems in the case of Hamiltonian functions either with subquadratic growth or homogeneous with superquadratic growth. Thus we extend to the nonautonomous case some results recently established by the Authors for the autonomous case.
Convexity Properties of the Moment Mapping.
Convexity properties of the moment mapping. II.
Convexity properties of the moment mapping. III.
Correction to: Connecting invariant manifolds and the solution of the stability and -stability conjectures for flows.
Correction to “Properties of pseudoholomorphic curves in symplectisations. I : asymptotics”
Corrections to "L2 -characteristic classes of Maslov–Trofimov of hamiltonian systems on the Lie algebra of the upper triangular matrices" (Fund. Math. 156 (1998), 99–110)
Couples de générateurs de certaines sous-algèbres de Lie de l'algèbre de Lie symplectique affine, et applications
Création de points périodiques de tous types au voisinage des tores K.A.M.
Critical points of convex perturbations of some indefinite quadratic forms and semi-linear boundary value problems at resonance
Cross ratios, Anosov representations and the energy functional on Teichmüller space
We study two classes of linear representations of a surface group: Hitchin and maximal symplectic representations. We relate them to cross ratios and thus deduce that they are displacing which means that their translation lengths are roughly controlled by the translations lengths on the Cayley graph. As a consequence, we show that the mapping class group acts properly on the space of representations and that the energy functional associated to such a representation is proper. This implies the existence...
Cruising in a central force field.