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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Non–continuation of the periodic oscillations of a forced pendulum in the presence of friction
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by Rafael Ortega, Enrico Serra and Massimo Tarallo PDF
Proc. Amer. Math. Soc. 128 (2000), 2659-2665 Request permission

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
  • Received by editor(s): October 22, 1998
  • Published electronically: February 28, 2000
  • Communicated by: Hal L. Smith
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 2659-2665
  • MSC (1991): Primary 34C25
  • DOI: https://doi.org/10.1090/S0002-9939-00-05389-2
  • MathSciNet review: 1670407