Stability of steady cross waves: Theory and experiment

Seth Lichter*, Andrew J. Bernoff

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


A bifurcation analysis is performed in the neighborhood of neutral stability for cross waves as a function of forcing, detuning, and viscous damping. A transition is seen from a subcritical to a supercritical bifurcation at a critical value of the detuning. The predicted hysteretic behavior is observed experimentally. A similarity scaling in the inviscid limit is also predicted. The experimentally observed bifurcation curves agree with this scaling.

Original languageEnglish (US)
Pages (from-to)1663-1667
Number of pages5
JournalPhysical Review A
Issue number5
StatePublished - 1988

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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