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Period doubling and chaos in a spin-1 model of the free-running ruby nuclear magnetic resonance laser

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Abstract

The dynamics of a model for spin-1 nuclei in a free-running nuclear magnetic resonance laser system in the presence of a simple quadrupole interaction are examined. In appropriate limits the semiclassical equations of the model reduce to those of the spin-½ model previously applied to this system. The model assumes homogeneous line broadening and spatial uniformity. Nevertheless, the model has low thresholds for a great variety of periodic and chaotic solutions for low but nonzero values of the quadrupole splitting. It also shows multistability, split bifurcations, and sensitive dependence of the final state on the initial conditions.

© 1988 Optical Society of America

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