Dynamics and bifurcations of a discrete time neural network with self connection

被引：0

作者：

Eskandari, Zohreh ^{[1
]}

Alidousti, Javad ^{[1
]}

Avazzadeh, Zakieh ^{[2
]}

Ghaziani, Reza Koshsiar ^{[1
]}

机构：

[1] Shahrekord Univ, Dept Math Sci, Shahrekord, Iran

[2] Xian Jiaotong Liverpool Univ, Dept Appl Math, Suzhou 215123, Peoples R China

来源：

EUROPEAN JOURNAL OF CONTROL | 2022年 / 66卷

关键词：

Neural network; Bifurcation; Generic bifurcation; Degenerate bifurcation;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the dynamical behavior of a discrete-time neural network system from both analytical and numerical points of view. The conditions as well as the critical coefficients for the pitchfork, flip (period-doubling), Neimark-Sacker, and strong resonances are computed analytically. Using critical coefficients, the bifurcation scenarios were determined for each bifurcation point. By changing one or two parameters, bifurcation curves of fixed points and cycles with periods up to four iterates, were obtained. Numerical analysis validates our analytical results and reveals more complex dynamical behaviors.(c) 2022 European Control Association. Published by Elsevier Ltd. All rights reserved.

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页数：9

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