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
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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.
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页码：894 / 910
页数：16
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