Invited seminar of Dr. Julian Javaloyes

Julian Javaloyes is professor titular d'universitat de les Illes Balears, in the Physics department, specialised in Optics.

The title for the seminar is "Pattern formation in time-delayed systems" and the abstract is the following:

"

Time-delayed dynamical systems have proven to be a fertile
framework for the study of physical phenomena. The latter materialize in
situations where distant, pointwise, nonlinear nodes exchange
information that propagates at a finite speed. This makes them a natural
approach in photonic systems composed of several, well-separated
elements. Time-delayed systems have been used to model complex regimes
in laser dynamics due to, e.g., parasitic optical feedback from a
distant mirror, but they can also successfully model regular dynamics
such as those generated by the passive and active mode-locking
mechanisms. Time-delayed systems also showed that they are a powerful
approach to explaining spatio-temporal pattern formation in a laser
output, such as dissipative temporal solitons, domain walls, Turing
bifurcations, and coarsening dynamics.

I this talk I will discuss recent developments in frequency combs and a
paradigmatic time-delayed model for tunable Kerr frequency combs in a
vertical-cavity geometry. Finally, the links between time-delayed
modeling and the more standard approaches, such as the Ikeda map, the
nonlinear Schrödinger equation, and the Lugiato-Lefever model, will be
discussed."