Introduction to the Perturbation Theory of Hamiltonian Systems

This book presents the basic methods of regular perturbation theory of Hamiltonian systems, including KAM-theory, splitting of asymptotic manifolds, the separatrix map, averaging, anti-integrable limit, etc. in a readable way. Although concise, it discusses all main aspects of the basic modern theor...

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Bibliographic Details
Main Authors: Treschev, Dmitry (Author), Zubelevich, Oleg (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
Series:Springer Monographs in Mathematics,
Subjects:
Online Access:Full Text via HEAL-Link
Description
Summary:This book presents the basic methods of regular perturbation theory of Hamiltonian systems, including KAM-theory, splitting of asymptotic manifolds, the separatrix map, averaging, anti-integrable limit, etc. in a readable way. Although concise, it discusses all main aspects of the basic modern theory of perturbed Hamiltonian systems and most results are given with complete proofs. It will be a valuable reference for Hamiltonian systems, and of special interest to researchers and graduate students of the KAM community.
Physical Description:X, 211 p. 20 illus. online resource.
ISBN:9783642030284
ISSN:1439-7382