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Geometry of nonholonomically constrained systems

著者: Richard H Cushman; J J Duistermaat; Jędrzej Śniatycki
出版商: Singapore ; Hackensack, NJ : World Scientific, ©2010.
丛书: Advanced series in nonlinear dynamics, v. 26.
版本/格式:   图书 : 英语查看所有的版本和格式
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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  再读一些...
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所有的著者/提供者: Richard H Cushman; J J Duistermaat; Jędrzej Śniatycki
ISBN: 9789814289481 9814289485
OCLC号码: 410223593
描述: xvi, 404 pages : illustrations ; 24 cm.
内容: 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.
丛书名: Advanced series in nonlinear dynamics, v. 26.
责任: Richard Cushman, Hans Duistermaat, Jędrzej Śniatycki.

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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  再读一些...

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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 再读一些...

 
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