We investigated the transition to wave turbulence in a spatially extended three-wave interacting model, where a spatially homogeneous state undergoing chaotic dynamics undergoes spatial mode excitation. The transition to this weakly turbulent state can be regarded as the loss of synchronization of chaos of mode oscillators describing the spatial dynamics.
['R. L. Viana', 'S. R. Lopes', 'J. D. Szezech', 'I. L. Caldas']
SYNCHRONIZATION OF CHAOS AND THE TRANSITION TO WAVE TURBULENCE