On the stable limit cycle of a weight-driven pendulum clock

Llibre, J.; Teixeira, M. A.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the stable limit cycle of a weight-driven pendulum clock

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Author(s):	Llibre, J. ^[1] ; Teixeira, M. A. ^[2] Total Authors: 2
Affiliation:	^[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain ^[2] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	European Journal of Physics; v. 31, n. 5, p. 1249-1254, SEP 2010.
Web of Science Citations:	5
Abstract
In a recent paper (Denny 2002 Eur. J. Phys. 23 449-58), entitled `The pendulum clock: a venerable dynamical system', Denny showed that in a first approximation the steady-state motion of a weight-driven pendulum clock is shown to be a stable limit cycle. He placed the problem in a historical context and obtained an approximate solution using the Green function. In this paper we obtain the same result with an alternative proof via known issues of classical averaging theory. This theory provides a useful means to study a planar differential equation derived from the pendulum clock, accessible to Master and PhD students. (AU)

FAPESP's process:	07/06896-5 - Geometry of control, dynamical and stochastic systems
Grantee:	Luiz Antonio Barrera San Martin
Support Opportunities:	Research Projects - Thematic Grants

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