Synchronization of Traveling Waves in Memristively Coupled Ensembles of FitzHugh-Nagumo Neurons With Periodic Boundary Conditions

被引：5

作者：

Korneev, I. A. ^{[1
]}

Ramazanov, I. R. ^{[1
]}

Semenov, V. V. ^{[1
,2
,3
]}

Slepnev, A. V. ^{[1
]}

Vadivasova, T. E. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Inst Phys, Saratov, Russia

[2] Univ Bourgogne Franche Comte, ST Inst, FEMTO, Besancon, France

[3] CNRS, Besancon, France

来源：

FRONTIERS IN PHYSICS | 2022年 / 10卷

基金：

俄罗斯科学基金会;

关键词：

memristor; ensembles; FitzHugh-Nagumo neurons; synchronization; wave processes; spatial structures; SYNCHRONOUS DYNAMICS; ELECTRICAL-ACTIVITY; MODEL; DEVICES; STATES;

D O I：

10.3389/fphy.2022.886476

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Synchronization of traveling waves in two rings of FitzHugh-Nagumo neurons is studied. Coupling between neurons within each ring is dissipative, while one between rings is memristive. Complete synchronization of waves in identical rings in the presence of an initial phase shift between wave processes and partial synchronization of waves in the case of different coupling strengths inside the rings are considered. The influence of the initial states of memristive coupling on the synchronization of wave processes in the case of memristors with an infinitely long memory and with the forgetting effect is investigated.

引用

页数：8

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