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DY: Fachverband Dynamik und Statistische Physik
DY 58: Poster: Nonlinear Dynamics; Pattern Formation; Networks; Delay Systems; Synchronization
DY 58.2: Poster
Donnerstag, 19. März 2020, 15:00–18:00, P1C
Interaction of topological localized states in excitable delayed systems — •Florian Eckel1, Leon Munsberg1, Julien Javaloyes2, and Svetlana Gurevich1 — 1Institut fuer theoretische Physik (WWU), Muenster, Germany — 2Universitat de les Illes Balears, Palma, Spain
We are interested in the dynamics of topological localized states (LSs) in a injection-locked semiconductor laser with a delayed feedback loop. Instead of a depth model describing the time evolution of the electrical field and carriers, a simple delayed Adler equation for the phase of the field can be derived. We explore the interaction between LSs in the delayed Adler equation and show an intricate non-reciprocal behavior. Furthermore, we derive a reduced model for the motion of the centers of the interacting LSs and compare it to the results obtained by direct numerical simulations.