eprintid: 53468 rev_number: 7 eprint_status: archive userid: 1903 dir: disk0/00/05/34/68 datestamp: 2019-02-20 08:45:34 lastmod: 2019-02-20 08:45:34 status_changed: 2019-02-20 08:45:34 type: article metadata_visibility: show creators_name: Higuera Torron, Maria Jesus creators_name: Porter, Jeffrey Brent creators_name: Knobloch, Edgar title: Faraday waves, streaming flow, and relaxation oscillations in nearly circular containers rights: by-nc-nd ispublished: pub subjects: mecanica subjects: matematicas full_text_status: public abstract: Faraday waves near onset in an elliptical container are described by a third-order system of ordinary differential equations with characteristic slow-fast structure. These equations describe the interaction of standing waves with a weakly damped streaming flow driven by Reynolds stresses in boundary layers at the free surface and the rigid walls, and capture the proliferation with decreasing damping of periodic and nonperiodic relaxation oscillations observed near onset in previous simulations. These structures are the result of slow drift through symmetry-related Hopf bifurcations. date_type: published date: 2008-03 publication: Chaos volume: 18 number: 1 pagerange: 15104 id_number: 10.1063/1.2779860 institution: Aeronauticos department: Matematica_aplicada_2014 refereed: TRUE issn: 1054-1500 comprojects_type: MINECO comprojects_code: ESP2006-03091 comprojects_leader: Ana Laverón Simavilla comprojects_title: Experimentos fluidos vibrados en microgravedad citation: Higuera Torron, Maria Jesus and Porter, Jeffrey Brent and Knobloch, Edgar (2008). Faraday waves, streaming flow, and relaxation oscillations in nearly circular containers. "Chaos", v. 18 (n. 1); p. 15104. ISSN 1054-1500. https://doi.org/10.1063/1.2779860 . document_url: https://oa.upm.es/53468/1/INVE_MEM_2008_126919.pdf