Regular Article

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

¹ Bernstein Center for Computational Neuroscience Berlin, Philippstr. 13, Haus 6, 10115 Berlin, Germany
² Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran
³ Health Technology Research Institute, Amirkabir University of Technology, No. 350, Hafez Ave, Valiasr Square, Tehran 159163-4311, Iran
⁴ School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, P.R. China
⁵ Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215, USA

^a e-mail: fahimenazarimehr@yahoo.com

Received: 10 September 2020
Received in final form: 27 September 2020
Accepted: 1 October 2020
Published online: 2 December 2020

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.