Quasiperiodic Dynamics in a Large Chain of Pump-Coupled Lasers

Abstract

We study the conditions for quasiperiodic dynamics in a chain of a large number of diffusively coupled lasers on the base of the distributed integro-differential model. The model takes into account the delay due to the optoelectronic conversion of signals in pumping lines. The values of coupling coefficient and the delay time are determined at which the codimension-two bifurcation of the stationary state occurs. A system of two complex Ginzburg–Landau equations is obtained as a quasi-normal form in the neighborhood of the bifurcation point. We get the homogeneous solutions of the quasi-normal which correspond to inhomogeneous waves in the distributed model. Such solutions can be interpreted as twoor three-frequency antiphase regimes in the chain of coupled lasers.