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Transition from hexagons to optical turbulence

Gomila, Damià; Colet, Pere
Physical Review A 68, 011801 (R) (1-4) (2003)

We characterize the different dynamical regimes and bifurcations in the transition from a stationary hexagonal pattern to optical turbulence. In order to characterize the bifurcations we perform linear stability analysis of stationary hexagonal patterns and Floquet analysis of oscillating hexagons. The interplay between space and time leads to a series of bifurcations showing a mixture of spatial period multiplying and quasiperiodic scenarios.