时变时滞复值神经网络的同斜解和周期解

IF 0.8 4区数学 Q2 MATHEMATICS

Filomat Pub Date : 2023-01-01 DOI:10.2298/fil2307997s

Ling Sun, F. Kong

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引用次数: 0

摘要

研究了一类具有时变时滞的复值神经网络。通过使用Mawhin的扩展?利用S延拓定理和近似技术，建立了关于同宿解和周期解存在性的新结果的几个充分条件。此外，还研究了解的渐近性质。最后，为了验证算法的有效性，给出了一个算例来说明主要结果的有效性。

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Homoclinic solutions and periodic solutions of complex-valued neural networks with time-varying delays

In this paper, a class of complex-valued neural networks with time-varying delays is studied. By employing an extension of Mawhin?s continuation theorem and an approximation technique, several sufficient conditions of the new results on the existence of homoclinic solutions and periodic solutions are established. Moreover, the asymptotic behavior of solutions via the Lyapunov function is also investigated. Finally, for the purpose of validity, an example is given to illustrate the effectiveness of main results.

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来源期刊

Filomat MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.20

自引率

0.00%

发文量

132

审稿时长

9 months

期刊介绍： The journal publishes original papers in all areas of pure and applied mathematics.