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Lévy noise-induced inverse stochastic resonance on Newman–Watts networks of Hodgkin–Huxley neurons

Dongxi Li

http://orcid.org/0000-0003-2786-8048

College of Data Science, Taiyuan University of Technology, Taiyuan 030024, P. R. China

E-mail Address: dxli0426@126.com

Corresponding author.

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Shuling Song

College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, P. R. China

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, and

Ni Zhang

College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, P. R. China

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https://doi.org/10.1142/S0217979220501854Cited by:8 (Source: Crossref)

Abstract

This paper primarily investigates the inverse stochastic resonance (ISR) of neuron network driven by Lévy noise with electrical autapse and chemical autapse, respectively. Firstly, the discharge of Hodgkin–Huxley (HH) neuron network under different noise parameters, autapse parameters and network coupling strength is shown. Then, the variation of average firing rate with Lévy noise in the case of electrical autapse and chemical autapse is presented. We find that there exists a minimum value of the average firing rate curve caused by stability index and noise intensity of Lévy noise across the whole network, which is the phenomenon of ISR. With the increase of autaptic intensity and coupling strength, the ISR inhibitory effect of neuron discharge is weakened. In addition, with the increase of coupling strength, the neuron discharge of neural network is more intense and regular. As a consequence, our work suggests that autaptic intensity and coupling efficient of neuronal network can regulate the neuronal firing activities and suppress the effect of ISR, and Lévy noise can induce ISR phenomenon in Newman–Watts neuronal network.

Keywords:

PACS: 05.40.-a, 02.50.-r

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