Hamiltonian Dynamics. Theory and Applications [electronic resource] : Lectures given at the C.I.M.E.-E.M.S. Summer School held in Cetraro, Italy, July 1-10, 1999 / by Giancarlo Benettin, Jacques Henrard, Sergei Kuksin.

By: Benettin, Giancarlo [author.]Contributor(s): Henrard, Jacques [author.] | Kuksin, Sergei [author.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze ; 1861Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005Description: XIV, 175 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540315414Subject(s): Mathematics | Dynamics | Ergodic theory | Partial differential equations | Manifolds (Mathematics) | Complex manifolds | Continuum physics | Mathematics | Dynamical Systems and Ergodic Theory | Partial Differential Equations | Manifolds and Cell Complexes (incl. Diff.Topology) | Classical Continuum PhysicsAdditional physical formats: Printed edition:: No titleDDC classification: 515.39 | 515.48 LOC classification: QA313Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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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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.

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