Fig. 4

Validation of our (\(3D+1\))-CGLE weak turbulence simulations. The complete time sequence is shown in Movie Mv01 (available as supplementary material). a: Three representative snapshots of amplitude hypercubes showing typical coherent structures from vortex dynamics such as irregular blobs (s204), whirls (s653) and rings(s906); b: The corresponding time series for all snapshots of the simulation. The normalized mean amplitude (top) and the mean size of the corresponding structure (bottom), where the green area comprises the deviation from the mean size; c: The corresponding spectra representing the spatiotemporal amplitude fluctuation for weak turbulence in 3D.