Mechanism of Appearing Complex Relaxation Oscillations in a System of Two Synaptically Coupled Neurons

被引：0

作者：

Glyzin S.D. ^{[1
]}

Preobrazhenskaya M.M. ^{[1
]}

机构：

[1] P. G. Demidov Yaroslavl’ State University 14, Sovetskaya St., Yaroslavl’

来源：

Journal of Mathematical Sciences | 2020年 / 249卷 / 6期

关键词：

D O I：

10.1007/s10958-020-04982-z

中图分类号：

学科分类号：

摘要：

We consider a system of two specially coupled differential-difference equations with delay in the coupling link. We establish that the system has a set of coexisting orbitally asymptotically stable solutions with the total number 2n, n ∈ ℕ, of bursts in the period; moreover, one of the oscillators has m bursts and the other has 2n − m bursts, m = 1,.. , 2n−1. From the results obtained it follows that an additional delay leads to the appearance of coexisting attractors in the system with a given number of bursts in the period. Bibliography: 20 titles. Illustrations: 2 figures. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：894 / 910

页数：16

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