Comparative analysis on Hopf bifurcation of integer‐order and fractional‐order two‐neuron neural networks with delay,International Journal of Circuit Theory and Applications

当前位置： X-MOL 学术 › Int. J. Circ. Theory Appl. › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Comparative analysis on Hopf bifurcation of integer‐order and fractional‐order two‐neuron neural networks with delay
International Journal of Circuit Theory and Applications ( IF 1.8 ) Pub Date : 2020-08-09 , DOI: 10.1002/cta.2847
Changjin Xu ₁ , Chaouki Aouiti ₂

Affiliation

This article mainly focuses on the stability and the existence of Hopf bifurcation of integer‐order and fractional‐order two‐neuron neural networks with delay. First of all, we obtain the sufficient criterion to ensure the stability and the existence of Hopf bifurcation of integer‐order two‐neuron neural networks with delay. Next, we establish the sufficient condition guaranteeing the stability and the existence of Hopf bifurcation of fractional‐order two‐neuron neural networks with delay. The study reveals that the time delay has a vital effect on the stability and Hopf bifurcation of integer‐order and fractional‐order two‐neuron neural networks with delay. By comparative analysis on Hopf bifurcation for integer‐order and fractional‐order two‐neuron neural networks with delay, we find that under an appropriate parameter conditions, the stability region can be enlarged, and the time of appearance of Hopf bifurcation of the involved two‐neuron neural networks can be postponed by using fractional‐order case. Finally, computer simulation results are presented to illustrate the theoretical findings. The established results of this article play an important role in designing and controlling networks.

中文翻译：

时滞整数阶和分数阶二阶神经元神经网络Hopf分支的比较分析

本文主要讨论具有时滞的整数阶和分数阶二阶神经元神经网络的Hopf分支的稳定性和存在性。首先，我们获得了充分的准则，以确保时滞整数阶二元神经网络的Hopf分支的稳定性和存在性。接下来，我们建立了充分条件，保证了分数阶二阶神经元神经网络具有时滞的Hopf分支的稳定性和存在性。研究表明，时滞对具有时滞的整数阶和分数阶二阶神经元神经网络的稳定性和Hopf分岔具有至关重要的影响。通过对带有时滞的整数阶和分数阶二阶神经元神经网络的Hopf分支进行比较分析，我们发现在适当的参数条件下，通过使用分数阶情况，可以扩大稳定区域，并且可以推迟所涉及的两个神经元神经网络的Hopf分叉的出现时间。最后，给出了计算机仿真结果以说明理论发现。本文的确定结果在设计和控制网络中起着重要作用。

更新日期：2020-08-09

点击分享查看原文

点击收藏

阅读更多本刊最新论文本刊介绍/投稿指南11