GEOMETRY OF NONHOLONOMICALLY CONSTRAINED SYSTEMS: 26 (Advanced Series in Nonlinear Dynamics) - Hardcover

CUSHMAN, RICHARD H ET AL

 
9789814289481: GEOMETRY OF NONHOLONOMICALLY CONSTRAINED SYSTEMS: 26 (Advanced Series in Nonlinear Dynamics)
Hardcover
ISBN 10: 9814289485 ISBN 13: 9789814289481
Publisher: World Scientific Publishing Company, 2010

Synopsis

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From the Back Cover

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 Carathodory's sleigh and the convex rolling rigid body. The qualitative behavior of the motion of the rolling disk is treated exhaustively and in detail. In particular, it classifies all motions of the disk, including those where the disk falls flat and those where it nearly falls flat.

The geometric techniques described in this book for symmetry reduction have not appeared in any book before. Nor has the detailed description of the motion of the rolling disk. In this respect, the authors are trail-blazers in their respective fields.

"About this title" may belong to another edition of this title.

Publisher
World Scientific Publishing Company
Publication date
2010
Language
English
ISBN 10 
9814289485
ISBN 13 
9789814289481
Binding
Hardcover
Number of pages
424