Synthesizing attractors of Hindmarsh-Rose neuronal systems

被引：11

作者：

Danca, Marius-F. ^{[1
,2
]}

Wang, Qingyun ^{[3
,4
]}

机构：

[1] Avram Iancu Univ, Dept Math & Comp Sci, Cluj Napoca 400380, Romania

[2] Romanian Inst Sci & Technol, Cluj Napoca 400487, Romania

[3] Beihang Univ, Dept Dynam & Control, Beijing 100191, Peoples R China

[4] Inner Mongolia Finance & Econ Coll, Sch Math & Stat, Hohhot 010070, Peoples R China

来源：

NONLINEAR DYNAMICS | 2010年 / 62卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

Hindmarsh-Rose model; Chaotic attractors; Local attractors; Global attractors; MODEL; DYNAMICS;

D O I：

10.1007/s11071-010-9730-6

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper a periodic parameter-switching scheme is applied to the Hindmarsh-Rose neuronal system to synthesize certain attractors. Results show numerically, via computer graphic simulations, that the obtained synthesized attractor belongs to the class of all admissible attractors for the Hindmarsh-Rose neuronal system and matches the averaged attractor obtained with the control parameter replaced with the averaged switched parameter values. This feature allows us to imagine that living beings are able to maintain vital behavior while the control parameter switches so that their dynamical behavior is suitable for the given environment.

引用

页码：437 / 446

页数：10

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[3]

[Anonymous], 1993, CHAOS DYNAMICAL SYST

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