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Deterministic chaos in the elastic pendulum: A simple laboratory for nonlinear dynamics

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorCuerno, Rodolfo
dc.contributor.authorFernández Rañada, Antonio
dc.contributor.authorRuiz-Lorenzo, Juan Jesús
dc.date.accessioned2010-03-08T10:48:47Z
dc.date.available2010-03-08T10:48:47Z
dc.date.issued1992-01
dc.description7 pages, 6 figures.-- PACS nrs.: 05.45.+b, 03.20.+i.
dc.descriptionMR#: MR1145312 (92j:70028)
dc.description.abstractThe chaotic motion of the elastic pendulum is studied by means of four indicators, the Poincaré section, the maximum Lyapunov exponent, the correlation function, and the power spectrum. It is shown that for very low and very large energies the motion is regular while it is very irregular for intermediate energies. Analytical considerations and graphical representations concerning the applicability of KAM theorem are also presented. This system and the type of description used are very suitable to introduce undergraduate students to nonlinear dynamics.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationAmerican Journal of Physics, 1992, vol. 60, n. 1, p. 73-79
dc.identifier.doihttps://www.doi.org/10.1119/1.17047
dc.identifier.issn0002-9505
dc.identifier.urihttps://hdl.handle.net/10016/7159
dc.language.isoeng
dc.publisherAmerican Association of Physics Teachers
dc.relation.publisherversionhttp://dx.doi.org/10.1119/1.17047
dc.rights© American Association of Physics Teachers
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherPendulums
dc.subject.otherChaotic systems
dc.subject.otherNonlinear problems
dc.subject.otherElasticity
dc.subject.otherPoincaré mapping
dc.subject.otherLyapunov method
dc.subject.otherCorrelation functions
dc.subject.otherPower spectra
dc.titleDeterministic chaos in the elastic pendulum: A simple laboratory for nonlinear dynamics
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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