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ERIC Number: EJ901541
Record Type: Journal
Publication Date: 2010-Sep
Pages: 6
Abstractor: As Provided
Reference Count: 9
ISSN: ISSN-0143-0807
On the Stable Limit Cycle of a Weight-Driven Pendulum Clock
Llibre, J; Teixeira, M. A.
European Journal of Physics, v31 n5 p1249-1254 Sep 2010
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. (Contains 1 figure.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A