Regensburg 2010 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 30: Posters II

DY 30.17: Poster

Thursday, March 25, 2010, 16:00–18:00, Poster C

Master Stability Function for time-delayed chaotic networks — •Anja Englert¹, Sven Heiligenthal¹, Wolfgang Kinzel¹, Maria Butkovski², Meital Zigzag², and Ido Kanter² — ¹Institut für Theoretische Physik, Universität Würzburg, 97074 Würzburg — ²Departement of Physics, Bar-Ilan-University, Ramat-Gan, Israel

Chaos synchronization in a network with time delayed couplings and self-feedbacks plays an important role in secure communication, neural models or chaotic laser systems. The Master Stability Function (MSF) is a well known method to analyse the stability of the synchronization of such a network. We analyse the MSF for Bernoulli networks by using the Schur-Cohn theorem and derive symmetry arguments for the possible appearance of zero lag synchronization. We apply these results to chaotic semiconductor laser systems in simulations using the Lang-Kobayashi equations and present experimental results.