Benettin / Giorgilli / Henrard Hamiltonian Dynamics - Theory and Applications

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 1-10, 1999
2005
ISBN: 978-3-540-31541-4
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 180 Seiten, eBook

Reihe: C.I.M.E. Foundation Subseries

This volume compiles 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.

Zielgruppe

Research

Autoren/Hrsg.

Benettin, Giancarlo

Henrard, Jacques

Kuksin, Sergej B.

Giorgilli, Antonio

Inhaltsverzeichnis

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.