Bifurcation Dynamics of Large-scale Neural Networks Composed of Super Multi-ring Networks

被引：0
|
作者：
Zhang Y.-Z. [1 ]
Xiao M. [1 ]
Wang L. [1 ]
Xu F.-Y. [1 ]
机构：
[1] College of Automation & College of Artificial intelligence, Nanjing University of Posts and Telecommunications, Nanjing
来源：
Zidonghua Xuebao/Acta Automatica Sinica | 2022年 / 48卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Hopf bifurcation; Neural network; Stability; Super-ring structure; Time delay;
D O I：
10.16383/j.aas.c200130
中图分类号：
学科分类号：
摘要：
At present, most bifurcation dynamics of neural networks are limited to simple structure, low dimension and few nodes, which are far from the real large-scale neural network system. Therefore, it is more practical to study the high-dimensional neural network model with a large number of neurons coupling. Ring and radial structures are ubiquitous in neural networks. This paper presents a class of large-scale neural networks with super-ring structure and delays, which consists of a large ring and any number of small rings, and each ring has any number of neurons. By using the eigenvalue method and bifurcation theory, the stability condition and Hopf bifurcation criterion of the super-ring neural network model are obtained by taking the time delay as bifurcation parameter. The correctness of the theoretical results is verified by numerical simulation. Copyright ©2022 Acta Automatica Sinica. All rights reserved.
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页码：1129 / 1136
页数：7
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