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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

Author: Giancarlo BenettinJ HenrardSergej B KuksinAntonio GiorgilliCentro internazionale matematico estivo.All authors
Publisher: Berlin ; New York : Springer, ©2005.
Series: Lecture notes in mathematics (Springer-Verlag), 1861.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Additional Physical Format: Print version:
Hamiltonian dynamics theory and applications.
Berlin ; New York : Springer, ©2005
(DLC) 2004116724
(OCoLC)58592701
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Giancarlo Benettin; J Henrard; Sergej B Kuksin; Antonio Giorgilli; Centro internazionale matematico estivo.; European Mathematical Society.
ISBN: 9783540315414 3540315411 3540240640 9783540240648
OCLC Number: 262680696
Description: 1 online resource (xiv, 175 pages) : illustrations.
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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1861.
Responsibility: Giancarlo Benettin, Jacques Henrard, Sergei Kuksin ; editor, Antonio Giorgilli.
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Abstract:

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.

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