Chimeras in leaky integrate-and-fire neural networks: effects of reflecting connectivities

Nefeli Dimitra Tsigkri-DeSmedt, Johanne Hizanidis, Eckehard Schöll, Philipp Hövel and Astero Provata ()
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Nefeli Dimitra Tsigkri-DeSmedt: Institute of Nanoscience and Nanotechnology
Johanne Hizanidis: Institute of Nanoscience and Nanotechnology
Eckehard Schöll: Institut für Theoretische Physik, Technische Universität Berlin
Philipp Hövel: Institut für Theoretische Physik, Technische Universität Berlin
Astero Provata: Institute of Nanoscience and Nanotechnology

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 7, 1-11

Abstract: Abstract The effects of attracting-nonlocal and reflecting connectivity are investigated in coupled Leaky Integrate-and-Fire (LIF) elements, which model the exchange of electrical signals between neurons. Earlier investigations have demonstrated that repulsive-nonlocal and hierarchical network connectivity can induce complex synchronization patterns and chimera states in systems of coupled oscillators. In the LIF system we show that if the elements are nonlocally linked with positive diffusive coupling on a ring network, the system splits into a number of alternating domains. Half of these domains contain elements whose potential stays near the threshold and they are interrupted by active domains where the elements perform regular LIF oscillations. The active domains travel along the ring with constant velocity, depending on the system parameters. When we introduce reflecting coupling in LIF networks unexpected complex spatio-temporal structures arise. For relatively extensive ranges of parameter values, the system splits into two coexisting domains: one where all elements stay near the threshold and one where incoherent states develop, characterized by multi-leveled mean phase velocity profiles.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1140/epjb/e2017-80162-0

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