SECONDARY INSTABILITIES OF SURFACE-WAVES ON VISCOUS FLUIDS IN THE FARADAY INSTABILITY

Secondary instabilities of Faraday waves show three regimes: 1) As see n previously, low-viscosity (v) fluids destabilize first into squares. At higher driving accelerations a, squares show low-frequency modulat ions corresponding to the motion of phase defects, while theory predic ts a stationary transverse amplitude modulation (TAM). 2) High-v fluid s destabilize first to stripes. Stripes then show an oscillatory TAM w hose frequency is incommensurate with the driving frequency. At higher a, the TAM undergoes a phase instability. At still higher a, edge dis locations form and fluid droplets are ejected. 3) Intermediate-v fluid s show a complex coexistence of squares and stripes, as well as statio nary and oscillatory TAM instabilities of the stripes.