Routes to Optical Turbulence in a Dispersive Ring Bistable Cavity Containing Saturable Nonlinearities
Using a plane wave analysis we show that co-existent attractors, representing distinct routes to optical turbulence, appear on a single branch of a dispersive ring bistable cavity. Some of these routes appear to arise via a tangent (saddle-node) bifurcation and are not found in the logistic map analyzed by Feigenbaum. When transverse variations in the beam profile are accounted for, a new transition sequence arises which is consistent with recent observations in a fluid dynamical experiment.
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