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...
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 |
Similar Items
-
Affine differential geometry of osculating hypersurfaces
by: Kazimieras Navickis
Published: (2012-12-01) -
The Bifurcations of Completely Integrable Holonomic Systems of First-Order Differential Equations
by: Jingbo Xu, et al.
Published: (2024-01-01) -
Holonomic Constraints: A Case for Statistical Mechanics of Non-Hamiltonian Systems
by: Giovanni Ciccotti, et al.
Published: (2018-02-01) -
On 1-index of Unstable Spacelike Hypersurfaces in Pseudo-Euclidean Spheres
by: Behzad Esmaeili, et al.
Published: (2021-12-01) -
Feedback Integrators for Mechanical Systems with Holonomic Constraints
by: Dong Eui Chang, et al.
Published: (2022-08-01)