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Geometry of nonholonomically constrained systems

Autor: Richard H Cushman; J J Duistermaat; Jędrzej Śniatycki
Editorial: Singapore ; Hackensack, NJ : World Scientific, ©2010.
Serie: Advanced series in nonlinear dynamics, v. 26.
Edición/Formato:   Print book : Inglés (eng)Ver todas las ediciones y todos los formatos
Base de datos:WorldCat
Resumen:
"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  Leer más
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Detalles

Tipo de documento: Libro/Texto
Todos autores / colaboradores: Richard H Cushman; J J Duistermaat; Jędrzej Śniatycki
ISBN: 9789814289481 9814289485
Número OCLC: 410223593
Descripción: xvi, 404 pages : illustrations ; 24 cm.
Contenido: 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.
Título de la serie: Advanced series in nonlinear dynamics, v. 26.
Responsabilidad: Richard Cushman, Hans Duistermaat, Jędrzej Śniatycki.

Resumen:

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  Leer más

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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 Leer más

 
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Datos enlazados


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