Dynamics of weakly coupled parametrically forced oscillators

Salgado Sánchez, P. and Porter, Jeffrey Brent and Tinao, I. and Laveron Simavilla, Ana (2016). Dynamics of weakly coupled parametrically forced oscillators. "Physical Review E", v. 94 (n. 2); pp.. ISSN 2470-0045. https://doi.org/10.1103/PhysRevE.94.022216.

Description

Title: Dynamics of weakly coupled parametrically forced oscillators
Author/s:
  • Salgado Sánchez, P.
  • Porter, Jeffrey Brent
  • Tinao, I.
  • Laveron Simavilla, Ana
Item Type: Article
Título de Revista/Publicación: Physical Review E
Date: August 2016
ISSN: 2470-0045
Volume: 94
Subjects:
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Aeronaves y Vehículos Espaciales
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The dynamics of two weakly coupled parametric oscillators are studied in the neighborhood of the primary subharmonic instability. The nature of both primary and secondary instabilities depends in a critical way on the permutation symmetries, if any, that remain after coupling is considered, and this depends on the relative phases of the parametric forcing terms. Detailed bifurcation sets, revealing a complex series of transitions organized in part by Bogdanov-Takens points, are calculated for representative sets of parameters. In the particular case of out-of-phase forcing the predictions of the coupled oscillator model are compared with direct numerical simulations and with recent experiments on modulated cross waves. Both the initial Hopf bifurcation and the subsequent saddle-node heteroclinic bifurcation are confirmed.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainAYA2010-19081UnspecifiedUnspecifiedFluidos vibrados en microgravedad
Government of SpainESP2013-45432-PUnspecifiedUnspecifiedFluidos vibrados en microgravedad y experimentos en pequeños satélites
Government of SpainESP2015-70458-PUnspecifiedUnspecifiedControl de fluidos vibrados en microgravedad

More information

Item ID: 53509
DC Identifier: http://oa.upm.es/53509/
OAI Identifier: oai:oa.upm.es:53509
DOI: 10.1103/PhysRevE.94.022216
Official URL: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.94.022216
Deposited by: Memoria Investigacion
Deposited on: 11 Feb 2019 09:03
Last Modified: 11 Feb 2019 09:03
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