Synchronization analysis of duplex neuronal network

The synchronization between neurons affects brain health in humans. Moreover, the multilayer structure is more consistent with the structural characteristics of the human brain than the single-layer neuronal network. In this paper, we propose a two-layer neuronal network model with the same intralay...

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Bibliographic Details
Published inInternational journal of dynamics and control Vol. 12; no. 7; pp. 2586 - 2596
Main Authors He, Peiyan, Yang, Lixin, Dang, Yuanchen
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2024
Subjects
Complexity
Control
Control and Systems Theory
Dynamical Systems
Engineering
Vibration
Duplex neuronal network
Synchronization
Electromagnetic induction
Master stability function
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Summary:The synchronization between neurons affects brain health in humans. Moreover, the multilayer structure is more consistent with the structural characteristics of the human brain than the single-layer neuronal network. In this paper, we propose a two-layer neuronal network model with the same intralayer topology and the interconnection between layers. The supra-Laplacian matrix is used to represent the topology of the network, and the Izhikevich neuron is taken as the node of network. The master stability equations of the presented neuronal network model are derived by means of the master stability function method, and the largest Lyapunov exponent is used to analyze the synchronous stabilities of the neuronal network. Meanwhile, the synchronization condition of two-layer neuronal network with different intralayer topologies is developed. And we investigate the effect of the intralayer structural parameters and the interlayer electromagnetic induction on synchronous performance. It is found that the large number of neurons in the human brain requires only a fraction of the connection probability and coupling strength to achieve intralayer synchronization. Furthermore, simulation results not only validate the correction of theoretical analysis, but also indicate that the electromagnetic induction plays the positive role on the interlayer synchronization. The methodology provides a way to understand synchronization of duplex neuronal network model.
ISSN:2195-268X
2195-2698
DOI:10.1007/s40435-023-01366-4