Failure of convergence of the Lax-Oleinik semi-group in the time periodic case
Families of whiskered tori for a-priori stable/unstable Hamiltonian systems and construction of unstable orbits.
Feuilletages en surfaces, cycles évanouissants et variétés de Poisson.
Fibration of the phase space for the Korteweg-de Vries equation
In this article we prove that the fibration of by potentials which are isospectral for the 1-dimensional periodic Schrödinger equation, is trivial. This result can be applied, in particular, to -gap solutions of the Korteweg-de Vries equation (KdV) on the circle: one shows that KdV, a completely integrable Hamiltonian system, has global action-angle variables.
Fibrations in symplectic topology.
Fibrés normaux d'immersions en dimension double, points doubles d'immersions lagrangiennes et plongements totalement réels.
Field theory and KAM tori.
Fields associated with autonomous dynamical systems. (Champs associés aux systèmes dynamiques autonomes.)
First steps in stable Hamiltonian topology
In this paper we study topological properties of stable Hamiltonian structures. In particular, we prove the following results in dimension three: The space of stable Hamiltonian structures modulo homotopy is discrete; stable Hamiltonian structures are generically Morse-Bott (i.e. all closed orbits are Bott nondegenerate) but not Morse; the standard contact structure on is homotopic to a stable Hamiltonian structure which cannot be embedded in . Moreover, we derive a structure theorem for stable...
Flaccidity of geometric index for nonsingular vector fields.
Floquet operators with singular spectrum. III
Flow around a slender circular cylinder: a case study on distributed Hopf bifurcation.
Foliation of phase space for the cubic non-linear Schrödinger equation
Formal deformations of symplectic manifolds with boundary.
Formes de contact ayant le même champ de Reeb
2000 Mathematics Subject Classification: 37J55, 53D10, 53D17, 53D35.In this paper, we study contact forms on a 3-manifold having a common Reeb vector field R. The main result is that when the contact forms induce the same orientation, they are diffeomorphic.
Fourier-like kernels in geometric quantization [Book]
Fractal time series -- A tutorial review.
Fredholm theory and transversality for the parametrized and for the -invariant symplectic action
We study the parametrized Hamiltonian action functional for finite-dimensional families of Hamiltonians. We show that the linearized operator for the -gradient lines is Fredholm and surjective, for a generic choice of Hamiltonian and almost complex structure. We also establish the Fredholm property and transversality for generic -invariant families of Hamiltonians and almost complex structures, parametrized by odd-dimensional spheres. This is a foundational result used to define -equivariant...
Fredholm theory of holomorphic discs under the perturbation of boundary conditions.