Regensburg 2010 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 10: Nonlinear Dynamics I

DY 10.1: Vortrag

Dienstag, 23. März 2010, 14:00–14:15, H46

Zero lag synchronization of a chaotic system with time delayed couplings — •Anja Englert and Wolfgang Kinzel — Institut für Theoretische Physik, Universität Würzburg, 97074 Würzburg

Zero-lag synchronization (ZLS) without self-feedback or adding a relay unit is demonstrated in an experiment of two mutually coupled chaotic semiconductor lasers. The mechanism is based on two mutual coupling delay times with certain integer ratios, where for a single mutual delay time ZLS cannot be achieved. This mechanism is also found for mutually coupled chaotic maps where its stability is analyzed using the Schur Cohn theorem for the roots of polynomials. The symmetry of the polynomials allows only specific integer ratios for ZLS. In addition a general argument for ZLS with several mutual coupling delay times is presented. This work was done in collaboration with Y. Aviad, M. Butkovski, I. Kanter, I. Reidler, M. Rosenbluh and M. Zigzag from Department of Physics, Bar-Ilan University, Israel. Paper to be published.