Generalized mechanical systems. A mathematical exposition of nonsmooth classical Lagrangian mechanics
type: Item
instance of: scholarly article
title: Generalized mechanical systems. A mathematical exposition of nonsmooth classical Lagrangian mechanics
zbMATH Open document ID: 0598.58025
DOI: 10.1016/0034-4877(84)90027-2
published in: Reports on Mathematical Physics
publication date: 1984-01-01T00:00:00Z
review text: Let a manifold M be the configuration space of a mechanical system in the sense of \textit{C. Godbillon} [Géométrie différentielle et mécanique analytique (1969; Zbl 0174.246)]. The author considers the case in which the force-field of the system is a semibasic de Rham 1- current on the phase space TM. The generalization for this case is created following the general program of Godbillon's book. The necessary geometrical theory of 1-currents on TM is investigated, connections between the generalized and the classical mechanical systems are described.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 70G99
zbMATH DE Number: 3965033
zbMATH Keywords: Lagrangian mechanics
zbMATH Keywords: mechanics on manifolds
zbMATH Keywords: de Rham currents
author: Mircea Puta
reviewed by: Yuri E. Gliklikh
MaRDI profile type: Publication
full work available at URL: 0034-4877(84)90027-2
OpenAlex ID: W2093451924
cites work: Q5541903
cites work: Q5562497
cites work: Distributional geometry
cites work: Q3889799
cites work: Q3262437
description: scientific article; zbMATH DE number 3965033