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

dc.creatorLlibre, J
dc.creatorTeixeira, MA
dc.date2010
dc.dateSEP
dc.date2014-11-13T22:05:22Z
dc.date2015-11-26T16:02:50Z
dc.date2014-11-13T22:05:22Z
dc.date2015-11-26T16:02:50Z
dc.date.accessioned2018-03-28T22:52:13Z
dc.date.available2018-03-28T22:52:13Z
dc.identifierEuropean Journal Of Physics. Iop Publishing Ltd, v. 31, n. 5, n. 1249, n. 1254, 2010.
dc.identifier0143-0807
dc.identifierWOS:000281414000024
dc.identifier10.1088/0143-0807/31/5/024
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/68810
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/68810
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/68810
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1265155
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionIn 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.
dc.description31
dc.description5
dc.description1249
dc.description1254
dc.descriptionMCYT/FEDER [MTM2008-03437]
dc.descriptionCIRIT [2009SGR-0410]
dc.descriptionICREA Academia
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionMCYT/FEDER [MTM2008-03437]
dc.descriptionCIRIT [2009SGR-0410]
dc.descriptionFAPESP [2007/06896-5]
dc.descriptionCAPES [PHB-2009-0025-PC]
dc.languageen
dc.publisherIop Publishing Ltd
dc.publisherBristol
dc.publisherInglaterra
dc.relationEuropean Journal Of Physics
dc.relationEur. J. Phys.
dc.rightsaberto
dc.rightshttp://iopscience.iop.org/page/copyright
dc.sourceWeb of Science
dc.titleOn the stable limit cycle of a weight-driven pendulum clock
dc.typeArtículos de revistas


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