Artículos de revistas
On the stable limit cycle of a weight-driven pendulum clock
Registro en:
European Journal Of Physics. Iop Publishing Ltd, v. 31, n. 5, n. 1249, n. 1254, 2010.
0143-0807
WOS:000281414000024
10.1088/0143-0807/31/5/024
Autor
Llibre, J
Teixeira, MA
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) 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. 31 5 1249 1254 MCYT/FEDER [MTM2008-03437] CIRIT [2009SGR-0410] ICREA Academia Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) MCYT/FEDER [MTM2008-03437] CIRIT [2009SGR-0410] FAPESP [2007/06896-5] CAPES [PHB-2009-0025-PC]