| 书目名称 | Perturbation Theory | | 副标题 | Mathematics, Methods | | 编辑 | Giuseppe Gaeta | | 视频video | | | 概述 | Provides a comprehensive overview of methods and applications.Covers developments in‘applications to water waves, celestial, and galactic dynamics.Features authoritative chapters from international le | | 丛书名称 | Encyclopedia of Complexity and Systems Science Series | | 图书封面 |  | | 描述 | .This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, is devoted to the fundamentals of Perturbation Theory (PT) as well as key applications areas such as Classical and Quantum Mechanics, Celestial Mechanics, and Molecular Dynamics. Less traditional fields of application, such as Biological Evolution, are also discussed. Leading scientists in each area of the field provide a comprehensive picture of the landscape and the state of the art, with the specific goal of combining mathematical rigor, explicit computational methods, and relevance to concrete applications. New to this edition are chapters on Water Waves, Rogue Waves, Multiple Scales methods, legged locomotion, Condensed Matter among others, while all other contributions have been revised and updated. Coverage includes the theory of (Poincare’-Birkhoff) Normal Forms, aspects of PT in specific mathematical settings (Hamiltonian, KAM theory, Nekhoroshev theory, and symmetric systems), technical problems arising in PT with solutions, convergence of series expansions, diagrammatic methods, parametric resonance, systems with nilpotent real part, PT for non-smooth systems, and on PT for PDEs [.write o | | 出版日期 | Reference work 2022 | | 关键词 | Perturbation Theory; Evolution and perturbation theory; Normal Forms; KAM theory; Nekhoroshev Theory; Wat | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-0716-2621-4 | | isbn_ebook | 978-1-0716-2621-4Series ISSN 2629-2327 Series E-ISSN 2629-2343 | | issn_series | 2629-2327 | | copyright | Springer Science+Business Media, LLC, part of Springer Nature 2022 |
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发表于 2025-3-21 18:37:23
