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Geometry of nonholonomically constrained systems

著者: Richard H Cushman; J J Duistermaat; Jędrzej Śniatycki
出版: Singapore ; Hackensack, NJ : World Scientific, ©2010.
シリーズ: Advanced series in nonlinear dynamics, v. 26.
エディション/フォーマット:   book_printbook : Englishすべてのエディションとフォーマットを見る
データベース:WorldCat
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"This book gives a modern differential geometric treatment of linearly nonholonomically constrained systems. It discusses in detail what is meant by symmetry of such a system and gives a general theory of how to reduce such a symmetry using the concept of a differential space and the almost Poisson bracket structure of its algebra of smooth functions. The above theory is applied to the concrete example of  続きを読む
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ドキュメントの種類: 図書
すべての著者/寄与者: Richard H Cushman; J J Duistermaat; Jędrzej Śniatycki
ISBN: 9789814289481 9814289485
OCLC No.: 410223593
物理形態: xvi, 404 pages : illustrations ; 24 cm.
コンテンツ: Nonholonomically Constrained Motions; Group Actions and Orbit Spaces; Symmetry and Reduction; Reconstruction, Relative Equilibria and Periodic Orbits; Caratheodory's Sleigh; Convex Rolling Rigid Body; The Rolling Disk.
シリーズタイトル: Advanced series in nonlinear dynamics, v. 26.
責任者: Richard Cushman, Hans Duistermaat, Jędrzej Śniatycki.

概要:

Offers a modern differential geometric treatment of linearly nonholonomically constrained systems. This title discusses what is meant by symmetry of such a system and gives a general theory of how to  続きを読む

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I consider this book as a fundamental reference on nonholonomic dynamics. It covers a broad variety of topics and problems covering these kinds of systems. It shows the importance of the geometric 続きを読む

 
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