Two-mode competition in Faraday instabilityS. Residori1, A. Guarino2 and U. Bortolozzo3
1 Institut Non Linéaire de Nice, UMR 6618 CNRS-UNSA - 1361 Route des Lucioles, 06560 Valbonne-Sophia-Antipolis, France
2 Université de la Polynésie Franaise - BP 6570 Faaa, 98702 Tahiti, French Polynesia
3 Istituto Sistemi Complessi - via Madonna del Piano 10, 50019 Sesto Fiorentino, Italy
received 1 August 2006; accepted in final form 14 December 2006; published February 2007
published online 5 February 2007
We study the Faraday instability in an elongated rectangular cell and for a range of the forcing frequency for which two nearly degenerate modes enter in competition. We investigate the stability properties of the two modes and we show that they can either coexist in a bistable way or give rise to a mixed mode. We develop a simple model based on two coupled amplitude equations, which accounts for the experimental observations.
47.54.-r - Pattern selection; pattern formation.
47.20.Dr - Surface-tension-driven instability.
47.35.-i - Hydrodynamic waves.
© Europhysics Letters Association 2007