Pattern control via multifrequency parametric forcing

Jeff Porter; Chad M. Topaz; Mary Silber

doi:10.1103/PhysRevLett.93.034502

Pattern control via multifrequency parametric forcing

Jeff Porter^*, Chad M. Topaz, Mary Silber

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

The use of multifrequency forcings to control certain resonant triad interactions relevant to pattern formation in spatially extended, parametrically forced systems was investigated. The most important, damped, resonant modes were classified and the dependence of the corresponding resonant triad interactions on the forcing parameters was determined. The relative phase of the forcing terms was used to enhance or suppress the nonlinear interactions. The results of the experiment were applied on the Faraday waves.

Original language	English (US)
Article number	034502
Pages (from-to)	034502-1-034502-4
Journal	Physical review letters
Volume	93
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevLett.93.034502
State	Published - Jul 16 2004

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1103/PhysRevLett.93.034502

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title = "Pattern control via multifrequency parametric forcing",

abstract = "The use of multifrequency forcings to control certain resonant triad interactions relevant to pattern formation in spatially extended, parametrically forced systems was investigated. The most important, damped, resonant modes were classified and the dependence of the corresponding resonant triad interactions on the forcing parameters was determined. The relative phase of the forcing terms was used to enhance or suppress the nonlinear interactions. The results of the experiment were applied on the Faraday waves.",

author = "Jeff Porter and Topaz, {Chad M.} and Mary Silber",

note = "Funding Information: J. P. was supported by EPSRC Grant No. GR/R52879/01. C. M. T. was supported by NSF Grants No. DMS-9983726 and No. DMS-9983320. M. S. was supported by NASA Grant No. NAG3-2364, NSF Grant No. DMS-0309667, and by the NSF MRSEC Program under No. DMR-0213745.",

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AU - Topaz, Chad M.

AU - Silber, Mary

N1 - Funding Information: J. P. was supported by EPSRC Grant No. GR/R52879/01. C. M. T. was supported by NSF Grants No. DMS-9983726 and No. DMS-9983320. M. S. was supported by NASA Grant No. NAG3-2364, NSF Grant No. DMS-0309667, and by the NSF MRSEC Program under No. DMR-0213745.

PY - 2004/7/16

Y1 - 2004/7/16

N2 - The use of multifrequency forcings to control certain resonant triad interactions relevant to pattern formation in spatially extended, parametrically forced systems was investigated. The most important, damped, resonant modes were classified and the dependence of the corresponding resonant triad interactions on the forcing parameters was determined. The relative phase of the forcing terms was used to enhance or suppress the nonlinear interactions. The results of the experiment were applied on the Faraday waves.

AB - The use of multifrequency forcings to control certain resonant triad interactions relevant to pattern formation in spatially extended, parametrically forced systems was investigated. The most important, damped, resonant modes were classified and the dependence of the corresponding resonant triad interactions on the forcing parameters was determined. The relative phase of the forcing terms was used to enhance or suppress the nonlinear interactions. The results of the experiment were applied on the Faraday waves.

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Pattern control via multifrequency parametric forcing

Abstract

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