Abstract
A theory is developed for regular and chaotic self fluctuations in crystal CuCl for a ring resonator geometry. A system of nonlinear differential equations is derived for the dynamic evolution of coherent excitons, photons, and biexcitons. It is shown that, in the unstable portions of the optical bistability curves, nonlinear periodic and chaotic self fluctuations can develop with the creation of limit cycles and strange attractors in the phase space of the system. A computer simulation is used to determine the parameters for which reliable switching takes place in the system and the parameter ranges are found within which the system undergoes a transition from strange attractor to limit cycle. The possibility of experimentally observing the phenomena studied here is discussed.
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