磁通量影响下的神经系统动力学

IF 1.1 4区数学 Q1 MATHEMATICS

Ricerche di Matematica Pub Date : 2024-01-02 DOI:10.1007/s11587-023-00828-3

Monica De Angelis

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引用次数: 0

摘要

研究考虑了一个描述受电磁场影响的突触生物学方面的自主模型。得到了一个与三阶 FitzHuh-Rinzel (FHR) 模型相当的四阶系统。还通过三元辅助谱实现了霍普夫分岔的线性稳定性标准和条件，结果表明其中一些条件令人想起与 FHR 系统临界解相关的条件。

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Dynamics of neural system under the influence of a magnetic flux

An autonomous model describing biological aspects of synapses affected by electromagnetic fields, is considered. A quaternary system comparable to the third-order FitzHuh–Rinzel (FHR) model is obtained. Linear stability criteria and conditions for Hopf bifurcations are achieved also by means of a ternary auxiliary spectrum showing that some of the resulting conditions recall those related to critical solutions of the FHR system.

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来源期刊

Ricerche di Matematica Mathematics-Applied Mathematics

CiteScore

3.00

自引率

8.30%

发文量

期刊介绍： “Ricerche di Matematica” publishes high-quality research articles in any field of pure and applied mathematics. Articles must be original and written in English. Details about article submission can be found online.