Numerically induced bursting in a set of coupled neuronal oscillators

被引：13

作者：

Medetov, Bekbolat ^{[1
]}

Weiss, R. Gregor ^{[2
]}

Zhanabaev, Zeinulla Zh. ^{[1
]}

Zaks, Michael A. ^{[2
]}

机构：

[1] Al Farabi Kazakh Natl Univ, Phys Tech Dept, Alma Ata 050038, Kazakhstan

[2] Humboldt Univ, Inst Math, D-12489 Berlin, Germany

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 20卷 / 03期

关键词：

Bursting; FitzHugh-Nagumo equations; Numerical integration of ODEs; MODEL; MEMBRANE;

D O I：

10.1016/j.cnsns.2014.07.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present our numerical observations on dynamics in the system of two linearly coupled FitzHugh-Nagumo oscillators close to the destabilization of the state of rest. Under the considered parameter values the system, if integrated sufficiently accurately, converges to small-scale periodic oscillations. However, minor numerical inaccuracies, which occur already at the default precision of the standard Runge-Kutta solver, lead to a breakup of periodicity and an onset of large-scale aperiodic bursting. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：1090 / 1098

页数：9

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