Dresden 2020 – scientific programme

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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

Thursday, March 19, 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.