Canonical dynamics of relativistic charged particles
Canonical forms for -structures in pseudo-riemannian manifolds
Canonical formulation of newtonian dynamics
Characterization of diffeomorphisms that are symplectomorphisms
Let and be compact symplectic manifolds (resp. symplectic manifolds) of dimension 2n > 2. Fix 0 < s < n (resp. 0 < k ≤ n) and assume that a diffeomorphism Φ : X → Y maps all 2s-dimensional symplectic submanifolds of X to symplectic submanifolds of Y (resp. all isotropic k-dimensional tori of X to isotropic tori of Y). We prove that in both cases Φ is a conformal symplectomorphism, i.e., there is a constant c ≠0 such that .
Characterization of higher-order tangent bundles.
Characterizations of the nonlinear connection in the higher order geometry.
Classical dynamics of non-holonomic systems : a geometric approach
Classical integrable mechanical systems and their integrable perturbations.
Classical particle in presence of magnetic field, hyperbolic Lobachevsky and spherical Riemann models.
Classification géométrique des structures internes des systèmes dynamiques à deux spins
Classification of symmetries for higher order Lagrangian systems II: The non-autonomous case.
Classification of symmetries for higher order Lagrangian systems.
Closed Curves on Convex Hypersurfaces and Periods of Nonlinear Oscillations.
Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural hamiltonian systems
Comment by the editors on the paper : “The hamiltonian formalism in higher order variational problems”
Comments on the dynamics of the Pais-Uhlenbeck oscillator.
Comparison and existence results for evolutive non-coercive first-order Hamilton-Jacobi equations
In this paper we prove a comparison result between semicontinuous viscosity subsolutions and supersolutions to Hamilton-Jacobi equations of the form in where the Hamiltonian H may be noncoercive in the gradient Du. As a consequence of the comparison result and the Perron's method we get the existence of a continuous solution of this equation.
Completely Integrable Hamiltonian Systems Connected with Semisimple Lie Algebras.
Completely integrable systems associated with classical root systems.
Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques
Dans cet article nous généralisons les résultats obtenus par J. Chazarain sur le spectre d’opérateurs de Schrödinger lorsque . Nous étendons ses résultats aux opérateurs pseudo-différentiels globalement elliptiques d’ordre .