Regensburg 2013 – wissenschaftliches Programm
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 9: Statistics and Dynamics of/on Networks (joint session BP/DY/SOE)
SOE 9.1: Vortrag
Dienstag, 12. März 2013, 09:30–09:45, H47
Chimera states in neural systems — •Iryna Omelchenko1,2, Oleh Omel'chenko3, Philipp Hövel1,2,4, and Eckehard Schöll1 — 1Institut für Theoretische Physik, Technische Universität Berlin — 2Bernstein Center for Computational Neuroscience, Humboldt-Universität zu Berlin — 3Weierstrass Institute, Berlin — 4Center for Complex Network Research, Northeastern University, Boston, USA
Chimera states are spatio-temporal patterns of synchrony and disorder observed in systems of nonlocally coupled identical elements. They are characterized by coexistence of spatial regions with regular synchronized and irregular incoherent motion. Initially discovered for phase oscillators, chimera states have been also found in systems of nonlocally coupled discrete maps [1], time-continuous chaotic systems [2], and have been recently realized in experiments [3].
We investigate the cooperative dynamics of nonlocally coupled neural populations modeled by FitzHugh-Nagumo systems, where each individual system displays oscillatory local dynamics, and demonstrate the existence of chimera states there. We analyse the stability of chimera states in the parameter space of the system and discuss mechanisms of transitions between different chimera types.
[1] I. Omelchenko, Yu. Maistrenko, P. Hövel, and E. Schöll, Phys. Rev. Lett. 106, 234102 (2011).
[2] I. Omelchenko, B. Riemenschneider, P. Hövel, Yu. Maistrenko, and E. Schöll. Phys. Rev. E 85, 026212 (2012).
[3] A.M. Hagerstrom, T.E. Murphy, R. Roy, P. Hövel, I. Omelchenko, and E. Schöll. Nature Physics 8, 658 (2012).