Complete integrability of equations of motion of a spatial pendulum placed in an incident medium
type: Item
instance of: scholarly article
title: Complete integrability of equations of motion of a spatial pendulum placed in an incident medium
zbMATH Open document ID: 1051.70509
author: M. V. Shamolin
published in: Moscow University Mechanics Bulletin
publication date: 2003-04-23T00:00:00Z
review text: The author considers a generalization of the problem on a plane pendulum treated in [\textit{B. Ya. Lokshin, V. A. Privalov} and \textit{V. A. Samsonov}, ``Introduction into the problem on body motion in the resisting medium'', Izd. MGU, Moscow (1986)]. The author studies the case of a spatial motion and establishes a complete integrability of the Jacobi equations of motion. Also the structure of the phase portrait of the system under consideration is discussed.
Mathematics Subject Classification ID: 70E40
Mathematics Subject Classification ID: 70H06
Mathematics Subject Classification ID: 37N05
zbMATH DE Number: 1899994
zbMATH Keywords: spatial pendulum
zbMATH Keywords: accumulating flow
zbMATH Keywords: integrability of equations of motion
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1899994