Introduction to the Perturbation Theory of Hamiltonian Systems [recurso electrónico] / by Dmitry Treschev, Oleg Zubelevich.
Tipo de material: TextoSeries Springer Monographs in MathematicsEditor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Descripción: X, 211p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642030284Tema(s): Mathematics | Global analysis (Mathematics) | Differentiable dynamical systems | Topology | Mechanics | Mathematics | Dynamical Systems and Ergodic Theory | Analysis | Topology | MechanicsFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 515.39 | 515.48 Clasificación LoC:QA313Recursos en línea: Libro electrónicoTipo de ítem | Biblioteca actual | Colección | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras |
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Libro Electrónico | Biblioteca Electrónica | Colección de Libros Electrónicos | QA313 (Browse shelf(Abre debajo)) | 1 | No para préstamo | 373498-2001 |
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.
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