Optical Solitons and Frequency Comb Generation - Abstract

Yanchuk, Serhiy

Temporal dissipative solitons in delay feedback systems

Driven primarily by applications from fiber or semiconductor lasers, temporal dissipative solitons (TDS) are gaining attention recently. In the talk, we summarize a corresponding theory for systems with time-delayed feedback. In particular, we derive a system with an advanced argument, which determines the profile of the TDS. We also provide a complete classification of their spectrum into interface and pseudo-continuous parts. We illustrate the theory with two examples: a generic delayed phase oscillator, which is a reduced model for an injected laser with feedback, and the FitzHugh-Nagumo neuron with delayed feedback. Finally, we discuss possible destabilization mechanisms of TDS.