Group Actions on Strongly Monotone Dynamical Systems.
Groupoïde d'homotopie d'un feuilletage Riemannien et réalisation symplectique de certaines variétés de Poisson.
The purpose of this paper is to prove the existence of a symplectic realization for a large class of regular Poisson manifolds with Riemannian two dimensional characteristic foliation. To do so, we will show that the homotopy groupoid of a Riemannian foliation is locally trivial.
Groupoïdes symplectiques
Hamiltonian Diffeomorphisms and Lagrangian Distributions.
Hamiltonian loops from the ergodic point of view
Let be the group of Hamiltonian diffeomorphisms of a closed symplectic manifold . A loop is called strictly ergodic if for some irrational number the associated skew product map defined by is strictly ergodic. In the present paper we address the following question. Which elements of the fundamental group of can be represented by strictly ergodic loops? We prove existence of contractible strictly ergodic loops for a wide class of symplectic manifolds (for instance for simply connected...
Hamiltonian Systems: Generic Properties of Closed Orbits and Local Perturbations.
Hamiltonian systems, Lagrangian tori and Birkhoffs's theorem.
Hamiltonian systems with linear potential and elastic constraints
We consider a class of Hamiltonian systems with linear potential, elastic constraints and arbitrary number of degrees of freedom. We establish sufficient conditions for complete hyperbolicity of the system.
Hamiltoniens périodiques et images convexes de l'application moment
Harmonic tori in spheres and complex projective spaces.
Heteroclinic orbits for spatially periodic hamiltonian systems
Holomorphic Lagrangian bundles over flag manifolds.
Holomorphic symplectic normalization of a real function
Homoclinic orbits for a singular second order hamiltonian system
Homoclinic orbits on non-compact riemannian manifolds for second order hamiltonian systems
Homoclinic Points in Conservative Systems.
Homomorphisms of the Lie algebras associated with a symplectic manifold
Hyperbolic dynamics of Euler-Lagrange flows on prescribed energy levels
Hyper-Lie Poisson structures
Immersed spheres in symplectic 4-manifolds
We discuss conditions under which a symplectic 4-manifold has a compatible Kähler structure. The theory of -holomorphic embedded spheres is extended to the immersed case. As a consequence, it is shown that a symplectic 4-manifold which has two different minimal reductions must be the blow-up of a rational or ruled surface.