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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Treschev, Dmitry (Autor), Zubelevich, Oleg (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
Edición:1st ed. 2010.
Colección:Springer Monographs in Mathematics,
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Introduction to the Perturbation Theory of Hamiltonian Systems  |h [electronic resource] /  |c by Dmitry Treschev, Oleg Zubelevich. 
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505 0 |a 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. 
520 |a 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. 
650 0 |a Dynamical systems. 
650 0 |a Mathematical analysis. 
650 0 |a Topology. 
650 0 |a Mechanics. 
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650 2 4 |a Analysis. 
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650 2 4 |a Classical Mechanics. 
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