Autowave Processes in Diffusion Neuron Systems

S. D. Glyzin; A. Yu. Kolesov; N. Kh. Rozov

doi:10.1134/S0965542519090094

Autowave Processes in Diffusion Neuron Systems

作者: Glyzin S.D.¹, Kolesov A.Y.¹, Rozov N.K.²
隶属关系:
1. Faculty of Mathematics, Yaroslavl State University
2. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
期: 卷 59, 编号 9 (2019)
页面: 1434-1453
栏目: Article
URL: https://journal-vniispk.ru/0965-5425/article/view/180782
DOI: https://doi.org/10.1134/S0965542519090094
ID: 180782

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详细

A diffusion neuron model representing a system of \(m,\)\(m \geqslant 2\), identical nonlinear delay differential equations coupled by linear diffusion terms is considered. It is shown that, with a suitable choice of the diffusion coefficient, the system has a set of \(m\) stable relaxation cycles.