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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 20: Networks: From Topology to Dynamics IV (with BP, DY)
SOE 20.8: Vortrag
Donnerstag, 17. März 2011, 17:00–17:15, GÖR 226
Coherence-incoherence transition in nonlocally coupled networks — •Iryna Omelchenko1, Yuri Maistrenko1, Philipp Hoevel2, and Eckehard Schoell2 — 1Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivska str. 3, 01601 Kyiv, Ukraine — 2Institut fuer Theoretische Physik, Technische Universitaet Berlin, Hardenbergstr. 36, 10623 Berlin, Germany
In networks of coupled oscillators we investigate the effects of nonlocal interactions on the dynamics and pattern formation. Novel types of bifurcations at the transition from coherence to incoherence are analyzed. They represent a critical pattern transformation which gives rise to breakdown of the spatially coherent state and transition to spatial chaos. The transition starts with the appearance of narrow layers of incoherence which then grow and occupy, eventually, the whole system. We follow the bifurcation scenarios for non-locally coupled logistic maps (both chaotic and periodic), and non-locally coupled Roessler systems, and conclude that the transition from spatial coherence to incoherence is typically accompanied by the appearance of hybrid, partially coherent states where coherent phase-locked regions coexist with incoherent spatially chaotic regions. In non-locally coupled Roessler systems chimera states appear at the coherence-incoherence transition.