Stability of steady cross waves: Theory and experiment
- 1 March 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 37 (5) , 1663-1667
- https://doi.org/10.1103/physreva.37.1663
Abstract
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.Keywords
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