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Failure of convergence of the Lax-Oleinik semi-group in the time periodic case

Albert Fathi, John Mather (2000)

Bulletin de la Société Mathématique de France

Families of whiskered tori for a-priori stable/unstable Hamiltonian systems and construction of unstable orbits.

Valdinoci, Enrico (2000)

Mathematical Physics Electronic Journal [electronic only]

Feuilletages en surfaces, cycles évanouissants et variétés de Poisson.

G. Hector, F. Alcalde Cuesta (1997)

Monatshefte für Mathematik

Fibration of the phase space for the Korteweg-de Vries equation

Thomas Kappeler (1991)

Annales de l'institut Fourier

In this article we prove that the fibration of $L^{2} (S^{1})$ by potentials which are isospectral for the 1-dimensional periodic Schrödinger equation, is trivial. This result can be applied, in particular, to $N$ -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.

McDuff, Dusa (1998)

Documenta Mathematica

Fibrés normaux d'immersions en dimension double, points doubles d'immersions lagrangiennes et plongements totalement réels.

Michèle Audin (1988)

Commentarii mathematici Helvetici

Field theory and KAM tori.

Gallavotti, G., Gentile, G., Mastropietro, V. (1995)

Mathematical Physics Electronic Journal [electronic only]

Fields associated with autonomous dynamical systems. (Champs associés aux systèmes dynamiques autonomes.)

Obădeanu, V. (1997)

General Mathematics

First steps in stable Hamiltonian topology

Kai Cieliebak, Evgeny Volkov (2015)

Journal of the European Mathematical Society

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 $S^{3}$ is homotopic to a stable Hamiltonian structure which cannot be embedded in $ℝ^{4}$ . Moreover, we derive a structure theorem for stable...

Flaccidity of geometric index for nonsingular vector fields.

Daniel Asimov (1977)

Commentarii mathematici Helvetici

Floquet operators with singular spectrum. III

James S. Howland (1998)

Annales de l'I.H.P. Physique théorique

Flow around a slender circular cylinder: a case study on distributed Hopf bifurcation.

Aranha, J.A.P., Burr, K.P., Barbeiro, I.C., Korkischko, I., Meneghini, J.R. (2009)

Mathematical Problems in Engineering

Foliation of phase space for the cubic non-linear Schrödinger equation

D. Bättig, B. Grébert, J. C. Guillot, T. Kappeler (1993)

Compositio Mathematica

Formal deformations of symplectic manifolds with boundary.

Ryszard Nest, Boris Tsygan (1996)

Journal für die reine und angewandte Mathematik

Formes de contact ayant le même champ de Reeb

Aggoun, Saad (2011)

Serdica Mathematical Journal

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]

K. Gawędzki (1976)

Fractal time series -- A tutorial review.

Li, Ming (2010)

Mathematical Problems in Engineering

Fredholm theory and transversality for the parametrized and for the $S^{1}$ -invariant symplectic action

Frédéric Bourgeois, Alexandru Oancea (2010)

Journal of the European Mathematical Society

We study the parametrized Hamiltonian action functional for finite-dimensional families of Hamiltonians. We show that the linearized operator for the $L^{2}$ -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 $S^{1}$ -invariant families of Hamiltonians and almost complex structures, parametrized by odd-dimensional spheres. This is a foundational result used to define $S^{1}$ -equivariant...

Fredholm theory of holomorphic discs under the perturbation of boundary conditions.

Yong-Geun Oh (1996)

Mathematische Zeitschrift

Currently displaying 1 – 19 of 19

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