Fig. 5

Gradient Hypercubes of (\(3D+1\))-CGLE weak turbulence obtained from our simulations. The complete time sequence is shown in Movie Mv02 (available as a supplementary material). Each gradient hypercube represents the output of the CGLE simulation. The simulation renders 1000 snapshots with a total duration of 30s in real time. The snapshots were selected considering the identification of four main regimes for the variation of (\(\Gamma _{\ell }\)): (I) initial regime with the formation of quasi-regular blobs with \(\Gamma _{\ell }< 0.25\) for the range (0- 175) (a-c); (II) secondary regime characterized by inhomogeneous blobs with low vorticity with \(0.25<\Gamma _{\ell }< 0.33\) for the range (176-325) (d-f); (III) high vorticity regime characterized mainly by screws and vortex rings with \(0.33<\Gamma _{\ell }< 0.75\) for the range (326-575) (g-i); (IV) regime with vortex rings and inhomogeneous blobs with \(\Gamma _{\ell }\) close to one for the final range (576-1000) (j-l). To monitor all the dynamics and inspect morphological details in particular snapshots, we recommend interacting with the data in video format (see supplementary material).