Non-continuation of the periodic oscillations of a forced pendulum in the presence of friction

Authors
Ortega, R Serra, E Tarallo, M
Citation
R. Ortega et al., Non-continuation of the periodic oscillations of a forced pendulum in the presence of friction, P AM MATH S, 128(9), 2000, pp. 2659-2665
Citations number
12
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
128
Issue
9
Year of publication
2000
Pages
2659 - 2665
Database
ISI
SICI code
0002-9939(2000)128:9<2659:NOTPOO>2.0.ZU;2-J
Abstract
A well known theorem says that the forced pendulum equation has periodic so lutions if there is no friction and the external force has mean value zero. In this paper we show that this result cannot be extended to the case of l inear friction.