Dynamics of systems with nonintegrable constraints. IV. Integral principles
type: Item
instance of: scholarly article
title: Dynamics of systems with nonintegrable constraints. IV. Integral principles
zbMATH Open document ID: 0641.70012
published in: Moscow University Mechanics Bulletin
publication date: 1987-01-01T00:00:00Z
review text: [For part III, see the author, ibid. 1983, No.3, 102-111 (1983; Zbl 0516.70017).] Various mathematical models of the motion of mechanical systems with nonintegrable constraints are known. Their validity is demonstrated by limiting processes in systems with no constraints. The general Hamilton- Ostrogradski principle, combined with the technique of limiting process, makes it possible to derive integral principles in the various models of motion of ``unfree'' systems. They are similar formally to Hamilton's principle, but use a different method of variation of motions. The laws of conservation and the conditions of existence of an invariant measure are discussed.
Mathematics Subject Classification ID: 70F25
Mathematics Subject Classification ID: 70H30
zbMATH DE Number: 4045275
zbMATH Keywords: motion of mechanical systems
zbMATH Keywords: nonintegrable constraints
zbMATH Keywords: limiting processes
zbMATH Keywords: Hamilton-Ostrogradski principle
zbMATH Keywords: integral principles
zbMATH Keywords: Hamilton's principle
zbMATH Keywords: existence of an invariant measure
author: Valery V. Kozlov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4045275