Abstract
We show numerically and analytically that the control based on the combination of optoelectronic negative and positive feedback loops allows one to obtain new time scale nonlinear dynamics regimes in solid-state lasers. The combination of feedbacks enables the realization of nonlinear dynamics of the logistic map. In lasers with external harmonic modulation of losses the combination of positive and negative feedback loops makes it possible to obtain period doubling bifurcation at the time scale in the range of few up to hundreds laser-cavity round trip times.
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