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Book Cover
E-book
Author Treschev, Dmitry.

Title Introduction to the perturbation theory of Hamiltonian systems / Dmitry Treschev, Oleg Zubelevich
Published Heidelberg ; New York : Springer, ©2010

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Description 1 online resource (x, 211 pages) : illustrations
Series Springer monographs in mathematics, 1439-7382
Springer monographs in mathematics.
Contents 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
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
Bibliography Includes bibliographical references and index
Notes English
Print version record
Subject Hamiltonian systems.
Perturbation (Mathematics)
Mechanics.
mechanics (physics)
MATHEMATICS -- Topology.
Mecánica
Perturbación (Matemáticas)
Hamiltonian systems
Perturbation (Mathematics)
Hamiltonsches System
Störungstheorie
Form Electronic book
Author Zubelevich, Oleg.
ISBN 9783642030284
3642030289