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Introduction to the Perturbation Theory of Hamiltonian Systems

Introduction to the Perturbation Theory of Hamiltonian Systems by Dmitry Treschev
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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. Despite its small size, 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 of interest to researchers and graduate students of the KAM community and to scientists working in mechanics.
Springer Berlin Heidelberg; October 2009
220 pages; ISBN 9783642030284
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Title: Introduction to the Perturbation Theory of Hamiltonian Systems
Author: Dmitry Treschev; Oleg Zubelevich
 
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ISBNs
3642030289
9783642030277
9783642030284