The role of pseudo-hypersurfaces in non-holonomic motion

The geometry of hypersurfaces is generalized to pseudo-hypersurfaces, which are defined by Pfaff equations. The general methods are then applied to modeling the kinematics of motion constrained by a single linear, non-holonomic constraint. They are then applied to the example of a charge moving in a...

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Bibliographic Details
Main Author: David Delphenich
Format: Article
Language:English
Published: AIMS Press 2020-06-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020307/fulltext.html