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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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


Authors: Rafael Ortega, Enrico Serra and Massimo Tarallo
Journal: Proc. Amer. Math. Soc. 128 (2000), 2659-2665
MSC (1991): Primary 34C25
Published electronically: February 28, 2000
MathSciNet review: 1670407
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Abstract:

A well known theorem says that the forced pendulum equation has periodic solutions 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 linear friction.


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Additional Information

Rafael Ortega
Affiliation: Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad deGranada, 18071 Granada, Spain
Email: rortega@goliat.ugr.es

Enrico Serra
Affiliation: Dipartimento di Matematica del Politecnico, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Email: serra@polito.it

Massimo Tarallo
Affiliation: Dipartimento di Matematica dell’Università, Via Saldini 50, 20133 Milano, Italy
Email: tarallo@vmimat.mat.unimi.it

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05389-2
PII: S 0002-9939(00)05389-2
Received by editor(s): October 22, 1998
Published electronically: February 28, 2000
Communicated by: Hal L. Smith
Article copyright: © Copyright 2000 American Mathematical Society