Soumen Majhi (Author), Matjaž Perc (Author), Dibakar Ghosh (Author)

Abstract

Spatial coexistence of coherent and incoherent dynamics in network of coupled oscillators is called a chimera state. We study such chimera states in a network of neurons without any direct interactions but connected through another medium of neurons, forming a multilayer structure. The upper layer is thus made up of uncoupled neurons and the lower layer plays the role of a medium through which the neurons in the upper layer share information among each other. Hindmarsh-Rose neurons with square wave bursting dynamics are considered as nodes in both layers. In addition, we also discuss the existence of chimera states in presence of inter layer heterogeneity. The neurons in the bottom layer are globally connected through electrical synapses, while across the two layers chemical synapses are formed. According to our research, the competing effects of these two types of synapses can lead to chimera states in the upper layer of uncoupled neurons. Remarkably, we find a density-dependent threshold for the emergence of chimera states in uncoupled neurons, similar to the quorum sensing transition to a synchronized state. Finally, we examine the impact of both homogeneous and heterogeneous inter-layer information transmission delays on the observed chimera states over a wide parameter space.

Keywords

kompleksne mreže;računska biofizika;nelinearni pojavi;statistična fizika;complex networks;computational biophysics;nonlinear phenomena;statistical physics;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UM FNM - Faculty of Natural Sciences and Mathematics
UDC: 53
COBISS: 22862600 Link will open in a new window
ISSN: 2045-2322
Views: 1187
Downloads: 432
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Other data

Secondary language: Slovenian
Secondary keywords: kompleksne mreže;računska biofizika;nelinearni pojavi;statistična fizika;
URN: URN:SI:UM:
Type (COBISS): Article
Pages: str. 1-11
Volume: ǂVol. ǂ6
Issue: ǂart. no. ǂ39033
Chronology: 2016
DOI: 10.1038/srep39033
ID: 10844190