Two-mode rhomboidal states in driven surface waves

H. Arbell, J. Fineberg

Research output: Contribution to journalArticlepeer-review

48 Scopus citations


Two-mode rhomboid patterns are generated experimentally via two-frequency parametric forcing of surface waves. These patterns are formed by the simple nonlinear resonance: k→'1 - k2 = k1 where k1 and k2(=k'2) are concurrently excited eigenmodes. The state possesses a direction-dependent time dependence described by a superposition of the two modes, and a dimensionless scaling delineating the state’s region of existence is presented. We also show that 2n-fold quasipatterns naturally arise from these states when the coupling angle between k2 and k→'1 is 2π/n.

Original languageAmerican English
Pages (from-to)654-657
Number of pages4
JournalPhysical Review Letters
Issue number4
StatePublished - 24 Jan 2000


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