Periodic Solutions on hypersurfaces and a result by C. Viterbo.
Periodic solutions with prescribed energy for some keplerian -body problems
Periodicity and transport from round-off errors.
Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibre cotangent.
Perturbation by analytic discs along maximal real submanifolds of CN.
Perturbation results for a class of singular Hamiltonian systems
The existence of solutions with prescribed period for a class of Hamiltonian systems with a Keplerian singularity is discussed.
Perturbation theory and discrete Hamiltonian dynamics.
Perturbations of quadratic hamiltonian systems with symmetry
Perturbations of stable invariant tori for hamiltonian systems
Perturbations of Systems Describing the Motion of a Particle in Central Fields
The present paper deals with the KAM-theory conditions for systems describing the motion of a particle in central field.
Perturbations of the spherical pendulum and Abelian integrals.
Perturbative computation of analytic invariants of resonant diffeomorphisms of
Perturbazioni periodiche di equazioni differenziali ordinarie su varietà differenziabili
Poincaré inequalities and Sobolev spaces.
Our understanding of the interplay between Poincaré inequalities, Sobolev inequalities and the geometry of the underlying space has changed considerably in recent years. These changes have simultaneously provided new insights into the classical theory and allowed much of that theory to be extended to a wide variety of different settings. This paper reviews some of these new results and techniques and concludes with an example on the preservation of Sobolev spaces by the maximal function.[Proceedings...
Poincaré-Melnikov theory for n-dimensional diffeomorphisms
We consider perturbations of n-dimensional maps having homo-heteroclinic connections of compact normally hyperbolic invariant manifolds. We justify the applicability of the Poincaré-Melnikov method by following a geometric approach. Several examples are included.
Poisson cohomology and canonical homology of Poisson manifolds
In this paper we present recent results concerning the Lichnerowicz-Poisson cohomology and the canonical homology of Poisson manifolds.
Poisson cohomology of regular Poisson manifolds
The main purpose of this paper is to suggest a method of computing Poisson cohomology of a Poisson manifold by means of symplectic groupoids. The key idea is to convert the problem of computing Poisson cohomology to that of computing de Rham cohomology of certain manifolds. In particular, we shall derive an explicit formula for the Poisson cohomology of a regular Poisson manifold where the symplectic foliation is a trivial fibration.
Poisson geometry of flat connections for SU(2)-bundles on surfaces.
Poisson Lie groups and their relations to quantum groups
The notion of Poisson Lie group (sometimes called Poisson Drinfel'd group) was first introduced by Drinfel'd [1] and studied by Semenov-Tian-Shansky [7] to understand the Hamiltonian structure of the group of dressing transformations of a completely integrable system. The Poisson Lie groups play an important role in the mathematical theories of quantization and in nonlinear integrable equations. The aim of our lecture is to point out the naturality of this notion and to present basic facts about...
Poisson structures on having only two symplectic leaves: the origin and the rest
Examples of Poisson structures with isolated non-symplectic points are constructed from classical r-matrices.