Berlin 2012 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 30: Networks IV (with SOE)
DY 30.8: Talk
Friday, March 30, 2012, 11:45–12:00, MA 001
The role of nonlocal coupling in the transition from coherent to incoherent states — •Bruno Riemenschneider1, Iryna Omelchenko1,2, Philipp Hövel1,2, Yuri Maistrenko3,4, and Eckehard Schöll1 — 1Institut für Theoretische Physik, Technische Universität Berlin — 2Bernstein Center for Computational Neuroscience, Humboldt-Universität zu Berlin — 3Institute of Mathematics, National Academy of Sciences of Ukraine — 4National Center for Medical and Biotechnical Research, National Academy of Sciences of Ukraine
We investigate the spatio-temporal dynamics of coupled chaotic systems with nonlocal interactions, where each element is coupled to a fixed number of nearest neighbours. Characteristic examples of such networks appear in neuroscience, chemical oscillators, electrochemical systems, and Josephson junctions. Depending upon the coupling parameters, i.e., strength and range, we find variations in temporal behaviour, as well as characteristic spatial patterns. These include wave-like solutions and a transition from spatial coherence to incoherence. Partially coherent, chimera-like states represent the characteristic spatio-temporal patterns at the transition, which leads to spatial chaos. The systems have been analyzed by both numerical simulations and theoretical derivations. To demonstrate the universality of our findings, we consider time-discrete as well as time-continuous models, i.e., logistic maps, Rössler and Lorenz systems, respectively. For each system we choose parameters that lead to chaotic behaviour in the uncoupled case.