title: Subcritical bifurcations and nonlinear balloons in faraday waves
abstract: Bicritical points at wave numbers k(b) larger than the critical wave numbers k(c) are found in parametric surface waves (Faraday waves) using both numerical simulations and nonlinear analysis. Because k(b)-k(c) is small, it is argued that subcritical bifurcations at k>k(b) can be easily observed in experiments. In the second part we present a generic argument predicting the existence of nonlinear states resembling a balloon outside the instability region. The prediction is confirmed in simulations and it is argued to apply to other systems with similar instability curves.
authors.affiliation: Department of Physics and Center for Complex Systems, National Central University, Chungli 320, Taiwan.
authors.initials: P
authors.lastname: Chen
authors.initials: KA
authors.lastname: Wu