T. Epstein and J. Fineberg
Institute of Physics, The Hebrew
Received 21 August 2003; revised 13 January 2004; published 15 June 2004
Interacting surface waves, parametrically excited by two commensurate frequencies, yield a number of nonlinear states. Near the systemís bicritical point, a state, highly disordered in space and time, results from competition between nonlinear states. Experimentally, this disordered state can be rapidly stabilized to a variety of nonlinear states via open-loop control with a small-amplitude third frequency excitation, whose temporal symmetry governs the temporal and the spatial symmetry of the selected nonlinear state. This technique also excites rapid switching between nonlinear states.