Hamiltonian Dynamics. Theory and Applications Lectures given at the C.I.M.E.-E.M.S. Summer School held in Cetraro, Italy, July 1-10, 1999 /

• Main Authors: Benettin, Giancarlo (Author), Henrard, Jacques (Author), Kuksin, Sergei (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
• Series: Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze, 1861
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Partial differential equations.; Manifolds (Mathematics).; Complex manifolds.; Dynamical Systems and Ergodic Theory.; Partial Differential Equations.; Manifolds and Cell Complexes (incl. Diff.Topology).; Classical and Continuum Physics.

This volume collects three series of lectures on applications of the theory of Hamiltonian systems, contributed by some of the specialists in the field. The aim is to describe the state of the art for some interesting problems, such as the Hamiltonian theory for infinite-dimensional Hamiltonian syst...

Table of Contents:

• A. Giorgilli: Preface
• G. Benettin: Physical Applications of Nekhoroshev Theorem and Exponential Estimates
• J. Henrard: The Adiabatic Invariant Theory and Applications
• S. Kuksin: Lectures on Hamiltonian Methods in Nonlinear PDEs.