Abstract
Instabilities and transition to optical turbulence in a phase-conjugate resonator are numerically investigated under the influence of more than one control parameter. The dynamics of intracavity modes, including one transverse spatial dimension, is considered under various conditions and in different regions of the multidimensional parameter space. A great variety of phenomena is observed, including Feigenbaum, intermittency and the Ruelle–Takens–Newhouse route to chaos, spatial filamentation and making the beam profile chaotic, coexisting attractors and boundary crises, optical bistability and dynamical effects, and inverse bifurcations. The route to high-dimensional chaos in this infinitely dimensional dissipative dynamical system is monitored qualitatively and quantitatively by using embedding techniques, Fourier and Lyapunov spectra, Poincaré sections, and bifurcation diagrams. We find similarities and significant differences with other infinite systems, notably with fluid dynamical flows and a time-delay differential equation.
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