The dynamics of spatiotemporal modulations.

  title={The dynamics of spatiotemporal modulations.},
  author={Nadine Aubry and Ricardo Lima},
  volume={5 3},
The modulational instability of traveling waves is often thought to be a crucial point in the mechanism of transition to space-time disorder and turbulence. The aim of this paper is to study the effect of spatiotemporal modulations on some dynamics u(0)(x,t), which may occur as an instability process when a control parameter varies, for instance. We analyze the properties of the modulated dynamics of the form g(1)(x)g(2)(t)u(0)(x,t) compared to those of the reference dynamics u(0)(x,t), using… CONTINUE READING

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