Dynamics and synchronization of boundary coupled FitzHugh-Nagumo neural networks

被引：12

作者：

Skrzypek, Leslaw ^{[1
]}

You, Yuncheng ^{[1
]}

机构：

[1] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2021年 / 388卷

关键词：

FitzHugh-Nagumo neural network; Boundary coupling; Synchronization; Dissipative dynamics; MODELS;

D O I：

10.1016/j.amc.2020.125545

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work a new mathematical model for complex neural networks is presented by the partly diffusive FitzHugh-Nagumo equations with ensemble boundary coupling. The dissipative dynamics and boundary coupling dynamics of solutions are proved with sharp uniform estimates. The synchronization of this kind complex neural networks is proved under the condition that boundary synaptic stimulation signal strength exceeds the threshold quantitatively expressed. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：13

共 50 条

[1] Synchronization of memristive FitzHugh-Nagumo neural networks
You, Yuncheng
Tian, Jing
Tu, Junyi
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 125
[2] Synchronization of the coupled FitzHugh-Nagumo systems
Uçar, A
Lonngren, KE
Bai, EW
[J]. CHAOS SOLITONS & FRACTALS, 2004, 20 (05) : 1085 - 1090
[3] On synchronization in heterogeneous FitzHugh-Nagumo networks
Plotnikov, Sergei A.
Fradkov, Alexander L.
[J]. CHAOS SOLITONS & FRACTALS, 2019, 121 : 85 - 91
[4] Synchronization properties of coupled FitzHugh-Nagumo systems
Tessone, CJ
Toral, R
Mirasso, CR
Gunton, JD
[J]. PHYSICS OF COMPLEX SYSTEMS (NEW ADVANCES AND PERSPECTIVES), 2004, 155 : 461 - 467
[5] Synchronization of coupled chaotic FitzHugh-Nagumo systems
Aqil, Muhammad
Hong, Keum-Shik
Jeong, Myung-Yung
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (04) : 1615 - 1627
[6] On Synchronization in FitzHugh-Nagumo Networks with Small Delays
Plotnikov, Sergei A.
Fradkov, Alexander L.
[J]. 2018 EUROPEAN CONTROL CONFERENCE (ECC), 2018, : 2052 - 2056
[7] Dynamics of delay-coupled FitzHugh-Nagumo neural rings
Mao, Xiaochen
Sun, Jianqiao
Li, Shaofan
[J]. CHAOS, 2018, 28 (01)
[8] Synchronization and transient dynamics in the chains of electrically coupled Fitzhugh-Nagumo oscillators
Medvedev, GS
Kopell, N
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 2001, 61 (05) : 1762 - 1801
[9] Synchronization between FitzHugh-Nagumo neurons coupled with phototube
Zhang Xiu-Fang
Ma Jun
Xu Ying
Ren Guo-Dong
[J]. ACTA PHYSICA SINICA, 2021, 70 (09)
[10] Stochastic excitation and synchronization in coupled FitzHugh-Nagumo elements
Luchinsky, DG
McClintock, PVE
Polovinkin, AV
Osipov, GV
[J]. NOISE IN COMPLEX SYSTEMS AND STOCHASTIC DYNAMICS, 2003, 5114 : 301 - 308

← 1 2 3 4 5 →