Secondary instabilities and spatiotemporal chaos in parametric surface waves

Wenbin Zhang, Jorge Viñals

Research output: Contribution to journalArticlepeer-review

69 Scopus citations

Abstract

A 2D model is introduced to study the onset of parametric surface waves, their secondary instabilities, and the transition to spatiotemporal chaos. We obtain the stability boundary of a periodic standing wave above onset against Eckhaus, zigzag, and transverse amplitude modulations (TAM), as a function of the control parameter and the wavelength of the pattern. The Eckhaus and TAM boundaries cross at a finite value of, thus explaining the finite threshold for the TAM observed experimentally. At larger values of, a numerical solution reveals a transition to spatiotemporal chaotic states mediated by the TAM instability.

Original languageEnglish (US)
Pages (from-to)690-693
Number of pages4
JournalPhysical Review Letters
Volume74
Issue number5
DOIs
StatePublished - Jan 1 1995

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