Bifurcation and Controller Design of 5D BAM Neural Networks With Time Delay

IF 1.6 4区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

International Journal of Numerical Modelling-Electronic Networks Devices and Fields Pub Date : 2024-11-11 DOI:10.1002/jnm.3316

Qingyi Cui, Changjin Xu, Yiya Xu, Wei Ou, Yicheng Pang, Zixin Liu, Jianwei Shen, Muhammad Zafarullah Baber, Chinnamuniyandi Maharajan, Uttam Ghosh

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引用次数: 0

Abstract

All the time delayed dynamical system plays a vital role in describing the dynamical phenomenon of neural networks. In the current article, we study a class of 5D delayed bidirectional associative memory (BAM) neural networks that conform to objective reality. First of all, we prove that the solution of the delayed 5D BAM neural networks exists and is unique by virtue of fixed point theorem and some inequality techniques. Secondly, the Hopf bifurcation and stability of the delayed 5D BAM neural networks are investigated by exploiting the stability criterion and bifurcation theory. Once more, Hopf bifurcation control strategy of the delayed 5D BAM neural networks is explored by virtue of two different hybrid controllers. By adjusting the parameters of the controllers, we can control the stability domain and Hopf bifurcation onset. Eventually, the correctness of the theoretical results was verified through numerical simulations. The conclusions obtained in this paper are new and have important theoretical value in neural network area.

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带时延的 5D BAM 神经网络的分岔和控制器设计

时延动力系统在描述神经网络的动力现象中起着至关重要的作用。在本文中，我们研究了一类符合客观现实的 5D 延迟双向联想记忆（BAM）神经网络。首先，我们通过定点定理和一些不等式技术证明了延迟 5D BAM 神经网络解的存在性和唯一性。其次，利用稳定性准则和分岔理论研究了延迟 5D BAM 神经网络的霍普夫分岔和稳定性。再次，通过两种不同的混合控制器，探索了延迟 5D BAM 神经网络的霍普夫分岔控制策略。通过调整控制器的参数，我们可以控制稳定域和霍普夫分岔的发生。最后，通过数值模拟验证了理论结果的正确性。本文得出的结论是全新的，在神经网络领域具有重要的理论价值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Numerical Modelling-Electronic Networks Devices and Fields 工程技术-工程：电子与电气

CiteScore

4.60

自引率

6.20%

发文量

101

审稿时长

>12 weeks

期刊介绍： Prediction through modelling forms the basis of engineering design. The computational power at the fingertips of the professional engineer is increasing enormously and techniques for computer simulation are changing rapidly. Engineers need models which relate to their design area and which are adaptable to new design concepts. They also need efficient and friendly ways of presenting, viewing and transmitting the data associated with their models. The International Journal of Numerical Modelling: Electronic Networks, Devices and Fields provides a communication vehicle for numerical modelling methods and data preparation methods associated with electrical and electronic circuits and fields. It concentrates on numerical modelling rather than abstract numerical mathematics. Contributions on numerical modelling will cover the entire subject of electrical and electronic engineering. They will range from electrical distribution networks to integrated circuits on VLSI design, and from static electric and magnetic fields through microwaves to optical design. They will also include the use of electrical networks as a modelling medium.