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
收藏
页码：1090 / 1098
页数：9
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