Titlebook: Hamiltonian Dynamical Systems and Applications; Walter Craig Conference proceedings 20081st edition Springer Science+Business Media B.V. 2

Mettle

acrimony

BOGUS

抛媚眼

Normal form of holomorphic dynamical systems, results about normal forms of germs of holomorphic vector fields at a fixed point in C.. We shall explain how relevant it is for geometric as well as for dynamical purpose. We shall first give some examples and counter-examples about holomorphic conjugacy. Then, we shall state and prove a main resu

Anticlimax

Geometric approaches to the problem of instability in Hamiltonian systems. An informal presentationtablish the presence of these structures in a given near integrable systems or in systems for which good numerical information is available. We also discuss some quantitative features of the diffusion mechanisms such as time of diffusion, Hausdorff dimension of diffusing orbits, etc.

教育学

Longitude

围裙

Variational methods for Hamiltonian PDEs,and infinite dimensional bifurcation phenomena occur. These results can be seen as generalizations of the classical finite-dimensional resonant center theorems of Weinstein–Moser and Fadell–Rabinowitz. The proofs are based on variational bifurcation theory: after a Lyapunov–Schmidt reduction, the sm

震惊

Spectral gaps of potentials in weighted Sobolev spaces,undary conditions. We prove results about correspondencies between the asymptotic behaviour of the spectral gaps of . and the regularity of . in the Gevrey case, among others. The proofs are based on a Fourier block decomposition due to Kappeler &Mityagin, and a novel application of the implicit fun

Itinerant

On the well-posedness of the periodic KdV equation in high regularity classes, consider the problem in weighted Sobolev spaces, which comprise classical Sobolev spaces, Gevrey spaces, and analytic spaces. We show that the initial value problem is well posed in all spaces with subexponential growth of Fourier coefficients, and ‘almost well posed’ in spaces with exponential gro