BIFURCATIONS, BURSTINGS, CHAOS AND CRISES IN THE ROSE-HINDMARSH MODEL FOR NEURONAL-ACTIVITY

被引：76

作者：

FAN, YS ^{[1
]}

HOLDEN, AV ^{[1
]}

机构：

[1] UNIV LEEDS,CTR NONLINEAR STUDIES,LEEDS LS2 9JT,W YORKSHIRE,ENGLAND

来源：

CHAOS SOLITONS & FRACTALS | 1993年 / 3卷 / 04期

关键词：

D O I：

10.1016/0960-0779(93)90029-Z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Three patterns of burst generation and chaos mechanism have been presented in the Rose-Hindmarsh model for different parameter regions. In the present paper, we describe the fourth burst pattern exhibited in the model for I less-than-or-equal-to 2.3, and obtain the bifurcation portrait for this model over parameter space. The portrait gives a qualitative explanation of burst generation and chaotic mechanism, and provides a qualitative representation how the system evolves over the parameter space.

引用

页码：439 / 449

页数：11

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