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DY: Fachverband Dynamik und Statistische Physik

DY 14: Focus Session: Chimera states: symmetry-breaking in dynamical networks (joint session DY/ BP)

DY 14.5: Talk

Tuesday, March 17, 2015, 11:30–11:45, BH-N 243

Amplitude-phase coupling drives chimera states in small globally coupled laser networksFabian Böhm1 and •Kathy Lüdge21Institut f. Theo. Physik, Sekr. EW 7-1, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany — 2Institut f. Theo. Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany Berlin, Germany

Chimera states are an intriguing and widely discussed phenomenon, in which an ensemble of coupled systems self-organizes into spatially seperated regions of coherence and incoherence. While we still lack a complete understanding of this general phenomen, three common existence criteria have been formulated in the past which demand large system sizes with non-local coupling and specially prepared initial conditions. For a network of globally coupled semiconductor lasers with time-delayed optical feedback, we show the existence of chimera states that defy these existence criteria. The typical regions of coherence and incoherence were found to exist for the amplitude and phase of the electrical field as well as the inversion of the electrons. Their stability does not depend on the system size which allows for the formation of chimera states in a system of only four coupled lasers. The formation of the chimera states can be linked to regions of multistability.Their occurence is driven by the amplitude-phase coupling of the semiconductor lasers.

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