Regensburg 2019 – scientific programme
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 6: Networks: From Topology to Dynamics (joint session DY/SOE)
SOE 6.8: Talk
Monday, April 1, 2019, 17:00–17:15, H20
Chimera States in Networks of Type-I Morris-Lecar Neurons — •Philipp Hövel1, Ali Calim2, Mahmut Ozer3, and Muhammet Uzuntarla2 — 1School 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.