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 |
Files in This Item:
File | Size | Format | |
---|---|---|---|
000379724600004.pdf | 1.2 MB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.