Dresden 2009 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 27: Poster II
DY 27.15: Poster
Thursday, March 26, 2009, 16:00–18:00, P1B
Complete synchronization of chaotic systems with time delayed coupling — •Thomas Jüngling1, Hartmut Benner1, Hiroyuki Shirahama2, and Kazuhiro Fukushima3 — 1Institut für Festkörperphysik, TU Darmstadt, 64289 Darmstadt, Germany — 2Faculty of Education, Ehime University, Matsuyama 790-8577, Japan — 3Faculty of Education, Kumamoto University, Kumamoto 860-8555, Japan
Complete chaotic synchronization of two mutually coupled systems is generally unstable if there is a time delay in the coupling terms larger than a critical value. For most systems this critical time delay is very small compared to their typical time scales. We present an example of two delay-coupled Rössler circuits which show stable complete synchronization for a delay time of about three periods of the mean chaotic cycle time. We have studied this phenomenon in both numerical simulations and electronic circuit experiments on variation of the coupling scheme and internal system parameters, and have investigated the effect on the critical delay time. Our results reveal general limits for stable complete synchronization depending on the internal Lyapunov exponent and the specific coupling coefficients.