Nonlinear Dynamics in Semiconductor Lasers - Abstract

Jaurigue, Lina

Suppression of noise-induced modulations in multi-delay systems

Many physical systems involve time-delayed feedback or coupling delay. In such delay-systems noise can give rise to undesirable oscillations at frequencies resonant to the delay times. We investigate how an additional, second feedback term can be used to suppress noise-induced modulations in delay-systems that exhibit deterministic oscillatory dynamics. A simple characteristic equation is derived to predict optimal delay times independent of the local dynamics. We first use the prototypical example of a Stuart-Landau oscillator subject to two feedback terms and then explicitly investigate two complex dynamical systems, a mode-locked laser and a FitzHugh-Nagumo oscillator.