Geometry of nonholonomically constrained systems
by Richard H. Cushman
"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 Caratheodory'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."--Jacket.
Check nearby libraries
Buy this book
| Edition | Availability |
|---|---|
1
Geometry of nonholonomically constrained systems
2010, World Scientific, World Scientific Publishing Co Pte Ltd
in English
9814289485 9789814289481
|
aaaa
|
Book Details
Edition Notes
Includes bibliographical references (p. 387-393) and index.
Classifications
The Physical Object
Edition Identifiers
Work Identifiers
Community Reviews (0)
Lists
| July 10, 2025 | Edited by MARC Bot | import existing book |
| June 17, 2023 | Edited by ImportBot | import existing book |
| June 30, 2019 | Edited by MARC Bot | import existing book |
| December 16, 2010 | Created by ImportBot | initial import |