On uniform linear invariant relations of the equations of dynamics
type: Item
instance of: scholarly article
title: On uniform linear invariant relations of the equations of dynamics
zbMATH Open document ID: 0618.70007
DOI: 10.1016/0021-8928(86)90052-3
author: A. S. Sumbatov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1986-01-01T00:00:00Z
review text: In a tangential stratification of the configuration manifold of a mechanical system, the submanifolds of its trajectories specified in local coordinates by equations that are linear and homogeneous, with respect to velocities, are discussed. The local conditions for the existence of some of such submanifolds in a structural form are established. The results obtained are illustrated by examples taken from solid dynamics.
Mathematics Subject Classification ID: 70G10
Mathematics Subject Classification ID: 70G45
Mathematics Subject Classification ID: 53B25
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 57N80
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 4003572
zbMATH Keywords: holonomic mechanical system
zbMATH Keywords: tangential stratification
zbMATH Keywords: configuration manifold
zbMATH Keywords: submanifolds
zbMATH Keywords: trajectories
zbMATH Keywords: local conditions
MaRDI profile type: Publication
full work available at URL: 0021-8928(86)90052-3
OpenAlex ID: W1965362544
cites work: Q5579611
cites work: Q3956025
cites work: Q5846533
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description: scientific article; zbMATH DE number 4003572