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

中文翻译：

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研究神经网络的分叉点：在癫痫发作中的应用

摘要

在本文中，我们借助神经元网络中的分叉来研究癫痫发作。在具有不同耦合强度的一层和多层网络中研究了这些神经元的分支。从各个方面研究网络的分叉。此外，还比较了不同网络的动态特性和网络外的单个神经元。审查了一些措施以预测网络的分叉点。这些措施由分叉图证明。本文的主要目的是研究神经元网络中的分叉并研究其动力学特性。同样，从生理事实的角度讨论结果。

图形概要