Hamiltonian Dynamical Systems and Applications

Preface.- Hamiltonian Dynamical Systems and Applications; W. Craig.- Some Aspects of Finite-Dimensional Hamiltonian Dynamics; D.V. Treschev.- Four Lectures on the N-body Problem; A. Chenciner.- Average Method and Adiabatic Invariants; A. Neishtadt.- Transformation Theory of Hamiltonian PDE and the Problem of Water Waves; W. Craig.- Three Theorems on Perturbed KdV; S.B. Kuksin.- Groups and Topology in the Euler Hydrodynamics and KdV; B. Khesin.- Infinite Dimensional Dynamical Systems and the Navier-Stokes Equation; C.E. Wayne.- Hamiltonian Systems and Optimal Control; A. Agrachev.- KAM Theory with Applications to Hamiltonian Partial Differential Equations; X. Yuan.- Four Lectures on KAM for the Non-Linear Schroedinger Equation; L.H. Eliasson, S.B. Kuksin.- A Birkhoff Normal Form Theorem for some Semilinear PDEs; D. Bambusi.- Normal Forms for Holomorphic Dynamical Systems; L. Stolovitch.- Geometric Approaches to the Problem of Instability in Hamiltonian Systems. An Informal Presentation; A. Delshams et al.- Variational Methods for the Problem of Arnold Diffusion; C.-Q. Cheng.- The Calculus of Variations and the Forced Pendulum; P.H. Rabinowitz.- Variational Methods for Hamiltonian PDEs; M. Berti.- Spectral Gaps of Potentials in Weighted Sobolev Spaces; J. Poeschel.- On the Well-Posedness of the Periodic KdV Equation in High Regularity Classes; T. Kappeler, J. Poeschel.