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

Giancarlo Benettin, Jacques Henrard, Sergei Kuksin ; editor, Antonio Giorgilli

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.

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[目次]

  • 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.

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この本の情報

書名 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
著作者等 Benettin, Giancarlo
Giorgilli, Antonio
Henrard, J.
Kuksin, Sergej B.
Zecca, P.
Henrard Jacques
Kuksin Sergei B.
C.I.M.E.-E.M.S. Summer School
シリーズ名 Lecture notes in mathematics
出版元 Springer
刊行年月 c2005
ページ数 xiv, 175 p.
大きさ 24 cm
ISBN 3540240640
NCID BA70881517
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言語 英語
出版国 ドイツ
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