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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1861)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (3 chapters)
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Front Matter
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Back Matter
About this book
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.
Keywords
- Adiabatic Invariants
- Exponential stability
- Finite
- Hamiltonian PDE's
- Hamiltonian systems
- Invariant
- KAM and Nekhoroshev theory
- theorem
- partial differential equations
Bibliographic Information
Book Title: Hamiltonian Dynamics - Theory and Applications
Book Subtitle: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 1-10, 1999
Authors: Giancarlo Benettin, Jacques Henrard, Sergei Kuksin
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/b104338
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2005
Softcover ISBN: 978-3-540-24064-8Published: 19 January 2005
eBook ISBN: 978-3-540-31541-4Published: 14 January 2005
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XIV, 180
Topics: Dynamical Systems, Differential Equations, Manifolds and Cell Complexes, Classical and Continuum Physics