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Published August 2012 | public
Journal Article

A Fiber Bundle Approach to the Transpositional Relations in Nonholonomic Mechanics

Abstract

The equations of nonholonomic mechanics may be derived using a number of variational principles. This paper studies some of these principles from the contemporary geometric point of view, taking into account various bundle structures that are intrinsically present in the nonholonomic setting.

Additional Information

© 2012 Springer Science+Business Media, LLC. Received: 4 January 2012; Accepted: 12 July 2012; Published online: 11 August 2012. We would like to thank the National Science Foundation for support and the reviewers for their helpful comments.

Additional details

Created:
August 22, 2023
Modified:
October 19, 2023