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.
• Physical Description: XIV, 175 p. online resource.
• ISBN: 9783540315414
• ISSN: 0075-8434 ;

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 systems, including KAM theory, the recent extensions of the theory of adiabatic invariants and the phenomena related to stability over exponentially long times of Nekhoroshev's theory. The books may serve as an excellent basis for young researchers, who will find here a complete and accurate exposition of recent original results and many hints for further investigation.