title: Hysteretic Faraday waves.
abstract: We report on the numerical and theoretical study of the subcritical bifurcation of parametrically amplified waves appearing at the interface between two immiscible incompressible fluids when the layer of the lower fluid is very shallow. As a critical control parameter is surpassed, small amplitude surface waves bifurcate subcritically toward highly nonlinear ones with twice their amplitude. We relate this hysteresis with the change of shear stress using a simple stress balance, in agreement with numerical results.
authors.affiliation: Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile.
authors.forename: Nicolas
authors.initials: N
authors.lastname: Périnet
authors.affiliation: Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile.
authors.forename: Claudio
authors.initials: C
authors.lastname: Falcón
authors.affiliation: LIMSI, CNRS, Université Paris-Saclay, Bât 508, rue John von Neumann, Campus Universitaire, F-91405, Orsay.
authors.forename: Jalel
authors.initials: J
authors.lastname: Chergui
authors.affiliation: LIMSI, CNRS, Université Paris-Saclay, Bât 508, rue John von Neumann, Campus Universitaire, F-91405, Orsay.
authors.forename: Damir
authors.initials: D
authors.lastname: Juric
authors.affiliation: Department of Mechanical and System Design Engineering, Hongik University, Seoul 121-791, Korea.
authors.forename: Seungwon
authors.initials: S
authors.lastname: Shin