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Titlebook: Geography of Order and Chaos in Mechanics; Investigations of Qu Bruno Cordani Book 20131st edition Springer Science+Business Media, New Yor

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發(fā)表于 2025-3-21 19:19:16 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Geography of Order and Chaos in Mechanics
副標(biāo)題Investigations of Qu
編輯Bruno Cordani
視頻videohttp://file.papertrans.cn/384/383257/383257.mp4
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
叢書名稱Progress in Mathematical Physics
圖書封面Titlebook: Geography of Order and Chaos in Mechanics; Investigations of Qu Bruno Cordani Book 20131st edition Springer Science+Business Media, New Yor
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
關(guān)鍵詞KAM theory; MATLAB programs; Nekhoroshev theorem; normal forms; numerical integration; perturbation theor
版次1
doihttps://doi.org/10.1007/978-0-8176-8370-2
isbn_softcover978-1-4939-0044-2
isbn_ebook978-0-8176-8370-2Series ISSN 1544-9998 Series E-ISSN 2197-1846
issn_series 1544-9998
copyrightSpringer Science+Business Media, New York 2013
The information of publication is updating

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發(fā)表于 2025-3-21 21:20:41 | 只看該作者
Analytical Mechanics and Integrable Systems,iables. This will be done in the third section of the chapter. In the first two sections we recall the main ideas of differential geometry and Lie groups, which are the natural language of analytical mechanics.
板凳
發(fā)表于 2025-3-22 03:10:48 | 只看該作者
地板
發(fā)表于 2025-3-22 07:41:19 | 只看該作者
,Die ?konomische Lage der Handwerker,iables. This will be done in the third section of the chapter. In the first two sections we recall the main ideas of differential geometry and Lie groups, which are the natural language of analytical mechanics.
5#
發(fā)表于 2025-3-22 12:29:57 | 只看該作者
Forschungsmethode der vorliegenden Arbeitn achieved. An example is our solar system, in which the perturbations are the interactions between planets. In this book we will suggest how to guess an answer, and on the way all these keywords will come into play.
6#
發(fā)表于 2025-3-22 15:24:04 | 只看該作者
https://doi.org/10.1007/978-3-322-85333-2e just the indicators of nonintegrability. Then, with the Frequency Modulation Indicator (FMI) we will analyze how order, chaos, and resonances are localized in action space, thus completing the study of the three quasi-integrable systems.
7#
發(fā)表于 2025-3-22 19:59:08 | 只看該作者
Introductory Survey,n achieved. An example is our solar system, in which the perturbations are the interactions between planets. In this book we will suggest how to guess an answer, and on the way all these keywords will come into play.
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發(fā)表于 2025-3-23 00:33:19 | 只看該作者
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發(fā)表于 2025-3-23 05:09:49 | 只看該作者
Book 20131st edition 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..
10#
發(fā)表于 2025-3-23 09:06:53 | 只看該作者
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