Nonlinear Dynamics in Semiconductor Lasers - Abstract

Yanchuk, Serhiy

Spiral defects and defect turbulence in systems with multiple delayed feedbacks

Dynamical systems with complex delayed interactions arise commonly when propagation times are significant, yielding complicated oscillatory instabilities. In systems with multiple, hierarchically long time delays, the suitable space-time representation can uncover features otherwise hidden in their temporal dynamics. It is shown that the behavior in the case of two delays under some conditions can ?encode? two-dimensional spiral defects and defects turbulence. A multiple scale analysis sets the equivalence to a complex Ginzburg-Landau equation. We also demonstrate this phenomenon for a semiconductor laser with two delayed optical feedbacks.