The paper investigates a model of a solid-state laser with optoelectronic feedback, which controls the Q-factor of the resonator. It is shown that, with an increase in the feedback response delay time, the transition of laser generation to dynamic chaos is initially observed. Then, with an even longer delay time, rare high-intensity laser pulses appear, called rogue waves. In addition, it was shown that it is possible to deliberately excite such rogue waves using a short-term external action on the system.
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