Mendeley出力
＜図書＞
Stable and random motions in dynamical systems : with special emphasis on celestial mechanics
| 責任表示 | Jürgen Moser |
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| シリーズ |
Annals of mathematics studies ; no. 77
Hermann Weyl lectures / The Institute for Advanced Study |
| データ種別 | 図書 |
| 出版情報 | Princeton, N.J. : Princeton University Press , 1973 |
| 本文言語 | 英語 |
| 大きさ | viii, 198 p. : ill. ; 24 cm |
| 概要 | For centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related N-body problem....They seek to find solutions to the equations of motion for N masspoints interacting with an inverse-square-law force and to determine whether there are quasi-periodic orbits or not. Attempts to answer such questions have led to the techniques of nonlinear dynamics and chaos theory.In this book, a classic work of modern applied mathematics, Jurgen Moser presents a succinct account of two pillars of the theory: stable and chaotic behavior. He discusses cases in which N-body motions are stable, covering topics such as Hamiltonian systems, the (Moser) twist theorem, and aspects of Kolmogorov-Arnold-Moser theory. He then explores chaotic orbits, exemplified in a restricted three-body problem, and describes the existence and importance of homoclinic points. This book is indispensable for mathematicians, physicists, and astronomers interested in the dynamics of few- and many-body systems and in fundamental ideas and methods for their analysis. After thirty years, Moser's lectures are still one of the best entrées to the fascinating worlds of order and chaos in dynamics. 続きを見る |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図 自動書庫 | 441.1/Mo 81 | 1973 |
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022232003032277 |
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筑紫図 1C 400-449 | 441.1/Mo 81 | 1973 |
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071232000068066 |
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書誌詳細
| 一般注記 | This work is an outgrowth of five lectures given by J. Moser at the Institute for Advanced Study on Feb. 7, 14, and 21, 1972 Bibliography: p. 191-198 |
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| 著者標目 | *Moser, Jürgen, 1928- |
| 件 名 | LCSH:Mechanics, Celestial |
| 分 類 | LCC:QB351 DC:521/.1 |
| 書誌ID | 1000998355 |
| ISBN | 0691081328 |
| NCID | BA06819056 |
| 巻冊次 | ISBN:0691081328 |
| 登録日 | 2009.09.16 |
| 更新日 | 2009.09.16 |