On the Stable Limit Cycle of a Weight-Driven Pendulum Clock

Autor/inn/en	Llibre, J; Teixeira, M. A.
Titel	On the Stable Limit Cycle of a Weight-Driven Pendulum Clock
Quelle	In: European Journal of Physics, 31 (2010) 5, S.1249-1254 (6 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0143-0807
DOI	10.1088/0143-0807/31/5/024
Schlagwörter	Calculus; Motion; Physics; Scientific Principles; Science Instruction; Graduate Study; College Science; Problem Solving; Validity; Theories; Equations (Mathematics) + Suchen Sie Ihr Suchwort? Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Bewegungsablauf; Physik; Teaching of science; Science education; Natural sciences Lessons; Naturwissenschaftlicher Unterricht; Aufbaustudium; Graduiertenstudium; Hauptstudium; Problemlösen; Gültigkeit; Theory; Theorie; Equations; Mathematics; Gleichungslehre
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. (Contains 1 figure.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10