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 /

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 syst...

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Other Authors: Benettin, Giancarlo., Henrard, J., Kuksin, Sergej B., 1955-, Giorgilli, Antonio., Centro internazionale matematico estivo., European Mathematical Society.
Format: eBook
Language: English
Published: Berlin ; New York : Springer, ©2005.
Berlin ; New York : [2005]
Physical Description: 1 online resource (xiv, 175 pages) : illustrations.
Series: Lecture notes in mathematics (Springer-Verlag) ; 1861.
Subjects:
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 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.
Item Description: Includes bibliographical references.
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.
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.
University staff and students only. Requires University Computer Account login off-campus.
Physical Description: 1 online resource (xiv, 175 pages) : illustrations.
Bibliography: Includes bibliographical references.
ISBN: 9783540315414
3540315411
3540240640
9783540240648
ISSN: 0075-8434 ;
Access: University staff and students only. Requires University Computer Account login off-campus.