Necessary conditions for mode interactions in parametrically excited waves

T. Epstein*, J. Fineberg

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

We study the spatial and temporal structure of nonlinear states formed by parametrically excited waves on a fluid surface (Faraday instability), in a highly dissipative regime. Short-time dynamics reveal that 3-wave interactions between different spatial modes are only observed when the modes' peak values occur simultaneously. The temporal structure of each mode is functionally described by the Hill's equation and is unaffected by which nonlinear interaction is dominant.

Original languageAmerican English
Article number134101
JournalPhysical Review Letters
Volume100
Issue number13
DOIs
StatePublished - 3 Apr 2008

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