Dynamics of nearly inviscid Faraday waves in almost circular containers

Higuera, María and Knobloch, Edgar and Vega de Prada, José Manuel (2005). Dynamics of nearly inviscid Faraday waves in almost circular containers. "Physica D: Nonlinear Phenomena", v. 201 (n. 1-2); pp. 83-120. ISSN 0167-2789. https://doi.org/10.1016/j.physd.2004.11.012.

Description

Title: Dynamics of nearly inviscid Faraday waves in almost circular containers
Author/s:
  • Higuera, María
  • Knobloch, Edgar
  • Vega de Prada, José Manuel
Item Type: Article
Título de Revista/Publicación: Physica D: Nonlinear Phenomena
Date: February 2005
ISSN: 0167-2789
Volume: 201
Subjects:
Freetext Keywords: Faraday oscillations; Forced symmetry breaking; Global bifurcations; Relaxation oscillations; Canards
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Parametrically driven surface gravity-capillary waves in an elliptically distorted circular cylinder are studied. In the nearly inviscid regime, the waves couple to a streaming flow driven in oscillatory viscous boundary layers. In a cylindrical container, the streaming flow couples to the spatial phase of the waves, but in a distorted cylinder, it couples to their amplitudes as well. This coupling may destabilize pure standing oscillations, and lead to complex time-dependent dynamics at onset. Among the new dynamical behavior that results are relaxation oscillations involving abrupt transitions between standing and quasiperiodic oscillations, and exhibiting ‘canards’.

More information

Item ID: 6069
DC Identifier: http://oa.upm.es/6069/
OAI Identifier: oai:oa.upm.es:6069
DOI: 10.1016/j.physd.2004.11.012
Official URL: http://www.sciencedirect.com
Deposited by: Memoria de Investigacion 2
Deposited on: 17 Feb 2011 12:44
Last Modified: 28 Apr 2015 15:45
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