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Isochronicity of a class of piecewise continuous oscillators
Author(s):
Francesc
Mañosas;
Pedro
J.
Torres
Journal:
Proc. Amer. Math. Soc.
133
(2005),
3027-3035.
MSC (2000):
Primary 34C05, 34C15
Posted:
March 31, 2005
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Abstract:
Motivated by a classical pendulum clock model suggested by Andrade in 1920, we study the equation  and prove that for a nonlinear analytic  the origin is never an isochronous focus or an isochronous center.
References:
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Additional Information:
Francesc
Mañosas
Affiliation:
Departament de Matematiques, Universitat Autonoma de Barcelona, 08193 Bellaterra, Barcelona, Spain
Email:
Francesc.Manosas@uab.es
Pedro
J.
Torres
Affiliation:
Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain
Email:
ptorres@ugr.es
DOI:
10.1090/S0002-9939-05-07873-1
PII:
S 0002-9939(05)07873-1
Keywords:
Isochronous,
center,
focus
Received by editor(s):
March 1, 2004
Received by editor(s) in revised form:
May 27, 2004
Posted:
March 31, 2005
Additional Notes:
The first author was partially supported by DGES No. BFM2002-04236-C02-2, BFM2002-01344 and the CONACIT grant number 2001SGR-00173.
The second author was partially supported by D.G.I. BFM2002-01308, Ministerio Ciencia y Tecnología, Spain
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2005,
American Mathematical Society
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