Heteroclinic dynamics in a model of Faraday waves in a square container

Moehlis, Jeff and Potter, Jeff and Knobloch, Edgar (2009). Heteroclinic dynamics in a model of Faraday waves in a square container. "Physica D : Nonlinear Phenomena", v. 238 (n. 9-10); pp. 846-859. ISSN 0167-2789. https://doi.org/10.1016/j.physd.2009.02.011.

Description

Title: Heteroclinic dynamics in a model of Faraday waves in a square container
Author/s:
  • Moehlis, Jeff
  • Potter, Jeff
  • Knobloch, Edgar
Item Type: Article
Título de Revista/Publicación: Physica D : Nonlinear Phenomena
Date: May 2009
Volume: 238
Subjects:
Freetext Keywords: Faraday waves; Heteroclinic dynamics; Global bifurcations
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Aeronaves y Vehículos Espaciales
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We study periodic orbits associated with heteroclinic bifurcations in a model of the Faraday system for containers with square cross-section and single-frequency forcing. These periodic orbits correspond to quasiperiodic surface waves in the physical system. The heteroclinic bifurcations are related to a continuum of heteroclinic connections in the integrable Hamiltonian limit, some of which persist in the presence of small damping. The dynamics in the neighborhood of one of the heteroclinic bifurcations are examined in detail using approximate Poincaré maps, with predictions that agree with numerical computations. The results suggest a great richness of possible dynamics of Faraday waves even in simple geometries and with single-frequency forcing.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainESP2006-03091UnspecifiedUnspecifiedExperimentos Fluidos Vibrados en Microgravedad

More information

Item ID: 53469
DC Identifier: http://oa.upm.es/53469/
OAI Identifier: oai:oa.upm.es:53469
DOI: 10.1016/j.physd.2009.02.011
Official URL: https://www.sciencedirect.com/science/article/pii/S0167278909000530#!
Deposited by: Memoria Investigacion
Deposited on: 11 Feb 2019 12:57
Last Modified: 11 Feb 2019 12:57
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