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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

  • Authors
  • Giancarlo Benettin
  • Jacques Henrard
  • Sergei Kuksin

Part of the Lecture Notes in Mathematics book series (LNM, volume 1861)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Back Matter
    Pages 165-177

About this book

Introduction

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.

Keywords

Adiabatic Invariants Exponential stability Finite Hamiltonian PDE's Hamiltonian systems Invariant KAM and Nekhoroshev theory theorem

Bibliographic information

  • DOI https://doi.org/10.1007/b104338
  • Copyright Information Springer-Verlag Berlin Heidelberg 2005
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-24064-8
  • Online ISBN 978-3-540-31541-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site