The possibility of controlling chaos in a model of an external-cavity laser diode with optimized impulsive delayed feedback is demonstrated. An examination is made of the application of such feedback by means of modulation of three different parameters, which determine the laser operation: (i) laser-drive current, (ii) laser-field phase, and (iii) laser-cavity losses. Account is taken of practical constraints arising from a technical delay in application of the control signal. The roles of the phase, width, and shape of the feedback pulses are elucidated for optimizing the control process. The effectiveness of the various methods of applying the control is analyzed by computing domains of control and finding the optimal conditions for control. It is demonstrated also that the preliminary targeting of dynamics to an unstable orbit by means of the present method is applicable to dynamical systems with many degrees of freedom and thus facilitates the process of controlling chaos.
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Naumenko et al. (1998) studied this question.
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