Chimera states in uncoupled neurons induced by a multilayer structure

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 i...

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Bibliographic Details
Published in:Scientific reports 2016-12, Vol.6 (1), p.39033-39033, Article 39033
Main Authors: Majhi, Soumen, Perc, Matjaž, Ghosh, Dibakar
Format: Article
Language:English
Subjects:
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Alzheimer's disease
Applied mathematics
Brain research
Coexistence
Electrical Synapses - physiology
Heterogeneity
Humanities and Social Sciences
Humans
Information processing
Models, Neurological
multidisciplinary
Neural networks
Neurons
Neurons - physiology
Nodes
Oscillators
Science
Synapses
Synaptic Transmission - physiology
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Summary: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.
ISSN:2045-2322
2045-2322
DOI:10.1038/srep39033