ADMISSIBLE PERTURBATIONS OF THE THREE-DIMENSIONAL HINDMARSH - ROSE NEURON MODEL

被引：2
|
作者：
Musafirov, Eduard [1 ]
机构：
[1] Yanka Kupala State Univ Grodno, Dept Mech & Bldg Struct, Ozheshko St 22, Grodno 230023, BELARUS
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 04期
关键词：
Reflecting function; admissible perturbation; bifurcation diagram; periodic attractor; strange attractor; REFLECTING FUNCTION; DIFFERENTIAL-SYSTEMS;
D O I：
10.11948/20210098
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For the autonomous Hindmarsh - Rose system the set of admissibly perturbed nonautonomous systems have been obtained. Reflecting functions of the Hindmarsh - Rose system and admissibly perturbed system are coinciding. This allows to investigate the admissibly perturbed systems using outcomes of researches of the well-known Hindmarsh - Rose system and the theory of reflecting function. The results are illustrated by numerical examples.
引用
收藏
页码：1668 / 1678
页数：11
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