Pattern formation in two-frequency forced parametric waves

摘要: We present an experimental investigation of superlattice patterns generated on the surface a fluid via parametric forcing with two commensurate frequencies. The spatiotemporal behavior four qualitatively different types is described in detail. These states are number three-wave resonant interactions. They occur either as symmetry-breaking bifurcations hexagonal composed single unstable mode or nonlinear interactions between primary modes by A coherent picture these together phase space which they appear presented. In addition, we describe new four-wave that arise when symmetry constraints rule out resonances.