Berlin 2012 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 1: Statistical Physics of Biological Systems I (with BP, talks from DY)
DY 1.3: Vortrag
Montag, 26. März 2012, 10:00–10:15, MA 001
Dynamics of inhomogeneous neural systems with nonlocal coupling — •Iryna Omelchenko1,2, Philipp Hövel1,2, and Eckehard Schöll1 — 1Technische Universität Berlin, Germany — 2Bernstein Center for Computational Neuroscience Berlin, Germany
We investigate the cooperative dynamics of nonlocally coupled neural populations modeled by FitzHugh-Nagumo systems, which is a generic model for type-II excitability. The individual systems are considered to operate above a Hopf bifurcation, that is, they display oscillatory local dynamics. Furthermore, inhomogeneity of the local elements is introduced in the system via a distribution of threshold parameters. Varying the coupling parameters, i.e., coupling radius and strength, and in dependence on the inhomogeneous system’s parameter distribution, we analyze spatio-temporal dynamics in the system. Coherent solutions, their stability and mechanisms of transition from coherence to incoherence are analyzed. Especially, we discuss the occurrence of chimera states that exhibit spatial coexistence of regular synchronized and irregular spatially incoherent regions.