书目名称 | Geography of Order and Chaos in Mechanics |
副标题 | Investigations of Qu |
编辑 | Bruno Cordani |
视频video | |
概述 | Offers a unique approach to the dynamics of quasi-integrable Hamiltonian systems.Provides a rare opportunity for readers to experiment with and fully conceptualize recent numerical tools via customize |
丛书名称 | Progress in Mathematical Physics |
图书封面 |  |
描述 | .This original monograph aims to explore the dynamics in the particular but very important and significant case of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces. With both analytic and numerical methods, the book studies several of these systems—including for example the hydrogen atom or the solar system, with the associated Arnold web—through modern tools such as the frequency modified fourier transform, wavelets, and the frequency modulation indicator. Meanwhile, it draws heavily on the more standard KAM and Nekhoroshev theorems. .Geography of Order and Chaos in Mechanics. will be a valuable resource for professional researchers and certain advanced undergraduate students in mathematics and physics, but mostly will be an exceptional reference for Ph.D. students with an interest in perturbation theory.. |
出版日期 | Book 20131st edition |
关键词 | KAM theory; MATLAB programs; Nekhoroshev theorem; normal forms; numerical integration; perturbation theor |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-8176-8370-2 |
isbn_softcover | 978-1-4939-0044-2 |
isbn_ebook | 978-0-8176-8370-2Series ISSN 1544-9998 Series E-ISSN 2197-1846 |
issn_series | 1544-9998 |
copyright | Springer Science+Business Media, New York 2013 |