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Dynamics of nearly inviscid Faraday waves in almost circular containers
Citation
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 |
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| Author/s: |
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| 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 |
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 |
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| DC Identifier: | https://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 |
