Nonlinear Phenomena in Complex Systems, 2015, Vol.18, No.2, pp.129-139

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2015, Vol.18, No.2, pp.129-139

Parametric Resonance in a Laser with Oscillating Delayed Feedback
Elena V. Grigorieva, Sergey A. Kaschenko

Dynamics of laser with time-variable delayed feedback is analyzed in the neighborhood of the equilibrium. We obtain parameters at which the stationary generation is stable in cases of 2 : 1 - and 1 : 1-resonant modulation and high-frequency modulation. Stabilization of the stationary state due to modulation of the delay can be successful (unsuccessful) in domains adjacent to super (sub-) critical Hopf bifurcation boundaries. In a vicinity of the bifurcation points, stable and unstable periodic solutions are asymptotically described in dependence on the modulation frequency.

Key words: laser dynamics, resonant effect, delayed differential equations, asymptotic analysis

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