Модель динамики биологической нейронной сети с гистерезисными связями

А М Соловьёв; Е Г Кабулова; М Е Семёнов

doi:10.17308/sait.2018.1/1201

Authors

А М Соловьёв Voronezh State University
Е Г Кабулова Stary Oskol Technological Insti-tute named after A.А. Ugarov (branch) National University of Science and Technology "MISIS"
М Е Семёнов Voronezh State University

DOI:

https://doi.org/10.17308/sait.2018.1/1201

Keywords:

biological neuron, neural network, synchronization of neurons, hysteresis, Bouc-Wen model

Abstract

In this work we investigated the dynamic of biological neural networks based on modified mathematical model of Kashchenko – Maiorov. We performed a simulation launch of endogenous processes, the formation of membrane depolarization of the neuron in the synopsis, and synchronization of neuronal ensembles under the influence of metabotropic receptive clus-ter, subject to hysteresis connexions and the type of impact (chemical or electrical). To describe the hysteresis dependencies that arise in the process of the neural network working, we used a phenomenological model of Bouc-Wen.

Author Biographies

А М Соловьёв, Voronezh State University

graduate student of Digital Technologies Department, Voronezh State University.
Е Г Кабулова, Stary Oskol Technological Insti-tute named after A.А. Ugarov (branch) National University of Science and Technology "MISIS"

associate professor, department of mathematics, Stary Oskol Technological Institute named after A.А. Ugarov (branch) National University of Science and Technology «MISIS».
М Е Семёнов, Voronezh State University

doctor of physical and mathe-matical Sciences, professor of Digital Technologies Department, Voronezh State University