Investigating bifurcation points of neural networks: application to the epileptic seizure

Zahra Faghani, Sajad Jafari, Chao-Yang Chen and Fahimeh Nazarimehr ()
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Zahra Faghani: Bernstein Center for Computational Neuroscience Berlin, Philippstr. 13, Haus 6
Sajad Jafari: Biomedical Engineering Department, Amirkabir University of Technology
Chao-Yang Chen: School of Information and Electrical Engineering, Hunan University of Science and Technology
Fahimeh Nazarimehr: Biomedical Engineering Department, Amirkabir University of Technology

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 12, 1-18

Abstract: Abstract In this paper, we investigate epileptic seizures with the help of bifurcations in the network of neurons. The bifurcations of these neurons are investigated in one-layer and multi-layer network with different coupling strength. Bifurcations of networks are studied in various aspects. Also, dynamical properties of different networks and the single neuron out of network are compared. Some measures are reviewed to predict the bifurcation points of a network. These measures are justified by the bifurcations’ plots. The main goal of this paper is investigating the bifurcations in networks of neurons and studying their dynamical properties. Also, the results are discussed from the viewpoint of physiological facts. Graphical abstract

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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DOI: 10.1140/epjb/e2020-10477-6

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