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DY: Fachverband Dynamik und Statistische Physik

DY 27: Poster II

DY 27.4: Poster

Donnerstag, 26. März 2009, 16:00–18:00, P1B

Synchronization of chaotic units with time delayed bi-directional couplings — Anja Englert, •Sven Heiligenthal, and Wolfgang Kinzel — Institut für Theoretische Physik und Astrophysik, Universitität Würzburg, Germany

The synchronization of chaotic units with bi-directional coupling may have applications for public channel cryptography [1]. However, two chaotic units can only synchronize if a self-feedback is added which is carefully adjusted to the transmission time delay. We investigate two methods to overcome this severe restriction:

1. Multiple feedback delay times [2] and

2. three mutually coupled chaotic units.

Numerical and analytical model calculations show the parameter space for which complete synchronization is achievable.

References:

[1] Ido Kanter, Noam Gross, Einat Klein, Evi Kopelowitz, Pinhas Yoskovits, Lev Khaykovich, Wolfgang Kinzel, and Michael Rosenbluh. Synchronization of mutually coupled chaotic lasers in the presence of a shutter. Phys. Rev. Lett., 98(15):154101, 2007.

[2] M Zigzag, M Butkovski, A. Englert, W. Kinzel, and I. Kanter. Emergence of zero-lag synchronization in generic mutually coupled chaotic systems. to be published, see http://arxiv.org/abs/0811.4066.

See: www.physik.uni-wuerzburg.de/?id=2200