A mechanism of mode locking in slow-fast delayed systems

Document Type

Presentation Abstract

Presentation Date

11-24-2014

Abstract

I will discuss one bifurcation scenario which is deemed responsible for generating periodic solutions of special type in delay differential models of semiconductor mode-locked lasers. The solution of interest is a periodic train of short pulses with the period close to the delay time. I would like to explore how general this bifurcation scenario is for delay differential systems with a slow-fast structure. To this end, I will test a number of population dynamics models and formulate some conjecture regarding the conditions that ensure the formation of a stable pulse train.

Additional Details

Monday, November 24, 2014 at 3:10 p.m. in Math 103
4:00 p.m. Refreshments in Math Lounge 109

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