Dynamics of Delay Equations, Theory and Applications - Abstract
Pimenov, Alexander
Dissipative phase solitons are time-localized structures in the output field intensity of a multi-mode ring semiconductor laser with spatially extended cavity under external optical injection, which appear as periodic pulses accompanied by 2$pi$ phase slips. We consider a delay-differential equation model of such a laser with large delay. We perform stability analysis of injection-locked steady states in the limit of large delay, and demonstrate Turing-like instability of the system. Furthermore, using DDE-BIFTOOL we perform detailed numerical stability analysis of periodic solutions of DDEs with finite delay that correspond to dissipative phase solitons. Finally, we study the effect of Turing-like instability on the dynamics of dissipative phase solitons, and demonstrate numerically the appearance of quasi-periodic regimes with phase slips.