Regensburg 2016 – wissenschaftliches Programm

Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

DY: Fachverband Dynamik und Statistische Physik

DY 31: Poster - Pattern Formation

DY 31.1: Poster

Dienstag, 8. März 2016, 18:15–21:00, Poster C

Delay-Induced Dynamics of Localized Structures in Systems with Spatial Inhomogeneities — •Felix Tabbert and Svetlana Gurevich — Institut für Theoretische Physik, Münster

We are interested in the stability properties of localized structures subjected to time-delayed feedback in systems with spatial inhomogeneities. Therefore, a Swift-Hohenberg model that describes the behaviour of transversal patterns in a passive cavity in two spatial dimensions is combined with an additional time-delayed feedback term and an inhomogeneous gaussian injection beam.

We show that varying the delay strength, the delay time and the shape of the injection beam leads to various dynamical solutions including drifting solutions, pinned oscillatory structures and the formation of spirals. The onset of these different instabilities can be predicted analytically in terms of a linear stability analysis of the delayed systems.

A special focus lies on the competing effects of the symmetry breaking inhomogeneity, which has a pinning effect on the localized structure, and the drift-inducing modes, which can be destabilized by time delayed feedback. The interplay of these competing effects leads to an oscillatory motion of the structure which is studied both numerically and analytically.