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＜電子ブック＞
Introduction to the Perturbation Theory of Hamiltonian Systems / by Dmitry Treschev, Oleg Zubelevich
(Springer Monographs in Mathematics. ISSN:21969922)

版	1st ed. 2010.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2010
本文言語	英語
大きさ	X, 211 p. 20 illus : online resource
著者標目	*Treschev, Dmitry author Zubelevich, Oleg author SpringerLink (Online service)
件　名	LCSH:Dynamical systems LCSH:Mathematical analysis LCSH:Topology LCSH:Mechanics FREE:Dynamical Systems FREE:Analysis FREE:Topology FREE:Classical Mechanics
一般注記	Hamiltonian Equations -- to the KAM Theory -- Splitting of Asymptotic Manifolds -- The Separatrix Map -- Width of the Stochastic Layer -- The Continuous Averaging Method -- The Anti-Integrable Limit -- Hill’s Formula 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 HTTP:URL=https://doi.org/10.1007/978-3-642-03028-4

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