Lagrangian tori in a sympletic vector space and global symplectomorphisms.
Le «closing lemma» en topologie
Le formalisme de contact en mécanique classique et relativiste
Legendrian distributions with applications to relative Poincaré series.
Lemme de Moser feuilleté et clasifications des variétés de Poisson régulières.
Regular Poisson structures with fixed characteristic foliation F are described by means of foliated symplectic forms. Associated to each of these structures, there is a class in the second group of foliated cohomology H2(F). Using a foliated version of Moser's lemma, we study the isotopy classes of these structures in relation with their cohomology class. Explicit examples, with dim F = 2, are described.
Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity
Lepagean 2-forms in higher order Hamiltonian mechanics. II. Inverse problem
Lie group theoretical construction of period mapping.
Linéarisation de certaines structures de Poisson de classe
Local Non-squeezing Theorems and Stability.
Locally conformal cosymplectic manifolds and time-dependent Hamiltonian systems
We show that locally conformal cosymplectic manifolds may be seen as generalized phase spaces of time-dependent Hamiltonian systems. Thus we extend the results of I. Vaisman for the time-dependent case.
Logarithmic convexity of push-forward measures.
Looking for the Bernoulli shift
Maslov indices on the metaplectic group
We use the properties of to construct functions associated with the elements of the lagrangian grassmannian (n) which generalize the Maslov index on Mp(n) defined by J. Leray in his “Lagrangian Analysis”. We deduce from these constructions the identity between and a subset of , equipped with appropriate algebraic and topological structures.
Matrix second-order differential equations and hamiltonian systems of quartic type
Mixed formulation for elastic problems - existence, approximation, and applications to Poisson structures
A mixed formulation is given for elastic problems. Existence and uniqueness of the discretized problem are given for conformal continuous interpolations for the stress tensor components and for the components of the displacement vector. A counterpart of the problem is discussed in the case of an even-dimensional Euclidean space with an associated Hamiltonian vector field and the Poisson structure. For conformal interpolations of the same order the question remains open.
Monotome Lagrange submanifolds of linear spaces and the Maslov class in cotangent bundles.
Morita equivalence and symplectic realizations of Poisson manifolds
Multiple homoclinic orbits for a class of conservative systems
Multiple homoclinic solutions for a class of autonomous singular systems in R2