THE OSCILLATIONS OF A PARTICLE SUSPENDED ON AN IDEAL THREAD

Authors
MARKEYEV AP
Citation
Ap. Markeyev, THE OSCILLATIONS OF A PARTICLE SUSPENDED ON AN IDEAL THREAD, Journal of applied mathematics and mechanics, 60(2), 1996, pp. 233-242
Citations number
13
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
Journal of applied mathematics and mechanics → ACNP
ISSN journal
00218928
Volume
60
Issue
2
Year of publication
1996
Pages
233 - 242
Database
ISI
SICI code
0021-8928(1996)60:2<233:TOOAPS>2.0.ZU;2-U
Abstract
The motion of a particle suspended on an ideal thread in a uniform gra vitational field is investigated. The problem of the orbital stability of the periodic motion of the particle along the vertical is solved. The non-linear oscillations in the neighbourhood of the periodic motio n are considered in the case when the motion is unstable. Normalizatio n of the Hamilton function using simplectic mappings is employed in th e investigation. (C) 1996 Elsevier Science Ltd.