Regensburg 2019 – wissenschaftliches Programm

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 6: Networks: From Topology to Dynamics (joint session DY/SOE)

SOE 6.8: Vortrag

Montag, 1. April 2019, 17:00–17:15, H20

Chimera States in Networks of Type-I Morris-Lecar Neurons — •Philipp Hövel1, Ali Calim2, Mahmut Ozer3, and Muhammet Uzuntarla21School of Mathematical Science, University College Cork, Ireland — 2Department of Biomedical Engineering, Bulent Ecevit University, Turkey — 3Department of Electrical and Electronics Engineering, Bulent Ecevit University, Turkey

Chimeras are complex spatio-temporal patterns that emerge as coexistence of both coherent and incoherent groups of coupled dynamical systems. Here, we investigate the emergence of chimera states in nonlocal networks of type-I Morris-Lecar neurons coupled via chemical synapses. This constitutes a more realistic neuronal modeling framework than previous studies of chimera states, since the Morris-Lecar model provides biophysically more relevant control parameters to describe the activity in actual neural systems. We explore systematically the transitions of dynamic behavior and find that different types of synchrony appear depending on the excitability level and nonlocal network features. Furthermore, we map the transitions between incoherent states, traveling waves, chimeras, synchronized states and global amplitude death in the parameter space of interest. This work contributes to a better understanding of biological conditions giving rise to the emergence of chimera states in neural medium.
Reference: A. Calim, M. Ozer, P. Hövel, M. Uzuntarla, Phys. Rev. E (2018) in print.

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