Secondary Instabilities and Spatiotemporal Chaos in Parametric Surface Waves.

@article{Zhang1995SecondaryIA,
  title={Secondary Instabilities and Spatiotemporal Chaos in Parametric Surface Waves.},
  author={Zhang and Vi{\~n}als},
  journal={Physical review letters},
  year={1995},
  volume={74 5},
  pages={690-693}
}
A two dimensional model is introduced to study pattern formation, secondary instabilities and the transition to spatiotemporal chaos (weak turbulence) in parametric surface waves. The stability of a periodic standing wave state above onset is studied against Eckhaus, zig-zag and transverse amplitude modulations (TAM) as a function of the control parameter ε and the detuning. A mechanism leading to a finite threshold for the TAM instability is identified. Numerical solutions of the model are in… CONTINUE READING
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