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Nonlinear Faraday resonance in a box with a square base

Published online by Cambridge University Press:  26 April 2006

M. Nagata
M. Nagata
Affiliation:
Department of Mathematical Sciences, University of St Andrews, North Haugh, St Andrews KY16 9SS, Fife, UK.
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Abstract

Surface wave motions in a container with a square base, which is subject to a vertical oscillation, are considered when the amplitude of the oscillation is small and the frequency of the oscillation is close to twice the natural frequency of the system. Subcritical wave motions are found for single modes as well as mixed modes. Here, single modes are described by either one of the two horizontal coordinates whereas mixed modes depend on both coordinates. It is found that in some subcritical region a stable single mode and a stable mixed mode coexist, producing complex basins of attraction.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 209 , December 1989 , pp. 265 - 284
Copyright
© 1989 Cambridge University Press

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