Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/319313
Type: Artigo
Title: Tilted excitation implies odd periodic resonances
Author: Depetri, G. I.
Sartorelli, J. C.
Marin, B.
Baptista, M. S
Abstract: Our aim is to unveil how resonances of parametric systems are affected when symmetry is broken. We showed numerically and experimentally that odd resonances indeed come about when the pendulum is excited along a tilted direction. Applying the Melnikov subharmonic function, we not only determined analytically the loci of saddle-node bifurcations delimiting resonance regions in parameter space but also explained these observations by demonstrating that, under the Melnikov method point of view, odd resonances arise due to an extra torque that appears in the asymmetric case. © 2016 American Physical Society.
Our aim is to unveil how resonances of parametric systems are affected when symmetry is broken. We showed numerically and experimentally that odd resonances indeed come about when the pendulum is excited along a tilted direction. Applying the Melnikov subharmonic function, we not only determined analytically the loci of saddle-node bifurcations delimiting resonance regions in parameter space but also explained these observations by demonstrating that, under the Melnikov method point of view, odd resonances arise due to an extra torque that appears in the asymmetric case.
Subject: Sistemas dinâmicos, Mecânica, Gravitação
Country: Estados Unidos
Editor: American Physical Society
Citation: Physical Review E - Statistical, Nonlinear, And Soft Matter Physics. American Physical Society, v. 94, p. , 2016.
Rights: aberto
Identifier DOI: 10.1103/PhysRevE.94.012202
Address: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.94.012202
Date Issue: 2016
Appears in Collections:IFGW - Artigos e Outros Documentos

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