DYNAMICS OF DELAY-COUPLED EXCITABLE NEURAL SYSTEMS

被引：45

作者：

Dahlem, M. A. ^{[1
]}

Hiller, G. ^{[1
]}

Panchuk, A. ^{[2
]}

Schoell, E. ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Theoret Phys, D-10623 Berlin, Germany

[2] Natl Acad Sci Ukraine, Inst Math, Kiev, Ukraine

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2009年 / 19卷 / 02期

关键词：

Excitable systems; turn-on delay; delay-induced oscillation; NEURONAL NETWORKS; PATTERN-FORMATION; FEEDBACK; OSCILLATIONS; FIELDS; NOISE; MODEL;

D O I：

10.1142/S0218127409023111

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the nonlinear dynamics of two delay-coupled neural systems each modeled by excitable dynamics of FitzHugh-Nagumo type and demonstrate that bistability between the stable fixed point and limit cycle oscillations occurs for sufficiently large delay times tau and coupling strength C. As the mechanism for these delay-induced oscillations, we identify a saddle-node bifurcation of limit cycles.

引用

页码：745 / 753

页数：9

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