Interplay between solitary states and chimeras in neural networks at different inter-layer coupling types
E.V. Rybalova1, A. Zakharova2, G.I. Strelkova1
1Institute of Physics, Saratov State University, Saratov, Russia
2Institut für Theoretische Physik, Technische Universität Berlin, Berlin, Germany
Abstract
We study numerically the spatiotemporal dynamics and synchronization of a heterogeneous two-layer multiplex network where each layer is represented by a ring of nonlocally coupled FitzHugh-Nagumo neurons in the oscillatory regime. When uncoupled, the layers can show chimera states, solitary states and combined structures (the coexistence of chimera and solitary states) depending on the values of the intralayer coupling parameters and initial conditions. We choose different spatiotemporal patterns in the coupled layers and systematically study synchronization between them when the interlayer coupling is introduced through either the fast (activator) or the slow (inhibitor) variable of the FitzHugh-Nagumo oscillators. Our results enable to uncover the competitive behavior between the solitary states and the chimeras in the transition to synchronous regime in the considered network.
Speaker
Elena Rybalova
Saratov State University
Russia
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