| 书目名称 | Introduction to the Perturbation Theory of Hamiltonian Systems | | 编辑 | Dmitry Treschev,Oleg Zubelevich | | 视频video | | | 概述 | Monograph with new results in the theory of Hamiltonian systems.Includes supplementary material: | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | This book is an extended version of lectures given by the ?rst author in 1995–1996 at the Department of Mechanics and Mathematics of Moscow State University. We believe that a major part of the book can be regarded as an additional material to the standard course of Hamiltonian mechanics. In comparison with the original Russian 1 version we have included new material, simpli?ed some proofs and corrected m- prints. Hamiltonian equations ?rst appeared in connection with problems of geometric optics and celestial mechanics. Later it became clear that these equations describe a large classof systemsin classical mechanics,physics,chemistry,and otherdomains. Hamiltonian systems and their discrete analogs play a basic role in such problems as rigid body dynamics, geodesics on Riemann surfaces, quasi-classic approximation in quantum mechanics, cosmological models, dynamics of particles in an accel- ator, billiards and other systems with elastic re?ections, many in?nite-dimensional models in mathematical physics, etc. In this book we study Hamiltonian systems assuming that they depend on some parameter (usually?), where for?= 0 the dynamics is in a sense simple (as a rule, integrable). Freq | | 出版日期 | Book 2010 | | 关键词 | Hamiltonian dynamics; KAM theory; Kolmogorov–Arnold–Moser theorem; dynamics; hamiltonian system; manifold | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-03028-4 | | isbn_softcover | 978-3-642-26104-6 | | isbn_ebook | 978-3-642-03028-4Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag Berlin Heidelberg 2010 |
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发表于 2025-3-21 18:50:48
