Dresden 2017 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 63: Controlling Complex Networks in Nature and Engineering (Focus session, joint DY/SOE/BP)

DY 63.2: Hauptvortrag

Freitag, 24. März 2017, 10:00–10:30, ZEU 160

Chimera patterns induced by complex connectivity in Leaky Integrate-and-Fire Networks — •Astero Provata¹, Nefeli Tsigkri-DeSmedt¹, Johanne Hizanidis¹, Philipp Hoevel², and Eckehard Schoell² — ¹Intitute of Nanoscience and Nanotechnology, National Center for Scientific Research "Demokritos", 15310 Athens, Greece — ²Institut fur Theoretische Physik, Technische Universitaet Berlin, Hardenbergstrasse 36, 10623 Berlin, Germany a

We study synchronization patterns in ring networks of Leaky Integrate-and-Fire(LIF) oscillators under different connectivity schemes. Earlier studies have demonstrated the formation of chimera and multichimera states in LIF networks with nonlocal connectivity and specific ranges of parameters. Because in natural networks the connectivity takes complex schemes we investigate here the modifications in the form of the chimera states under: a) reflecting connectivity and b) diagonal connectivity. In case a) we show numerically that reflecting connectivity induces a novel chimera pattern in which near-threshold elements co- exist with oscillating ones. The oscillating elements form arch-shaped mean phase velocity profiles while the potentials of the near-threshold elements never drop to the resting state. In case b) the diagonal connectivity induces multichimera states whose mean phase velocity profile changes its multiplicity as the coupling constant varies, while regimes of classic multichimera states are separated by synchronous regimes.The new synchronization patterns demonstrate the influence of complex connectivity in network synchronization.