Geometry Of Nonholonomically Constrained Systems (Hardcover)

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.

General

Imprint:	World Scientific Publishing Co Pte Ltd
Country of origin:	Singapore
Series:	Advanced Series in Nonlinear Dynamics, 26
Release date:	December 2009
First published:	February 2010
Authors:	Richard H Cushman • Hans Duistermaat • Jedrzej Sniatycki
Dimensions:	236 x 161 x 23mm (L x W x T)
Format:	Hardcover
Pages:	424
ISBN-13:	978-981-4289-48-1
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
LSN:	981-4289-48-5
Barcode:	9789814289481

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