Global attractive periodic solutions of neutral-type neural networks with delays in the leakage terms

Shihong Zhu; Bo Du; Shihong Zhu; Bo Du

doi:10.3934/math.20231368

AIMS Mathematics

2023, Volume 8, Issue 11: 26731-26744. doi: 10.3934/math.20231368

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Global attractive periodic solutions of neutral-type neural networks with delays in the leakage terms

Shihong Zhu ¹,
Bo Du ^{2
,
,}

1.
College of Mathematics and Computer, Tongling University, Tongling, Anhui, 244061, China
2.
School of Mathematics and Statistics, Huaiyin Normal University, Huaian, Jiangsu, 223300, China

Received: 09 August 2023 Revised: 06 September 2023 Accepted: 10 September 2023 Published: 19 September 2023
MSC : 34D23, 92B20

In this paper, we introduce a class of neutral-type neural networks with delay in the leakage terms. Using coincidence degree theory, Lyapunov functional method and the properties of neutral operator, we establish some new sufficient criteria for the existence and global attractiveness of periodic solutions. Finally, an example demonstrates our findings.
- periodic solution,
- neural networks,
- neutral-type,
- leakage terms
Citation: Shihong Zhu, Bo Du. Global attractive periodic solutions of neutral-type neural networks with delays in the leakage terms[J]. AIMS Mathematics, 2023, 8(11): 26731-26744. doi: 10.3934/math.20231368

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Abstract

In this paper, we introduce a class of neutral-type neural networks with delay in the leakage terms. Using coincidence degree theory, Lyapunov functional method and the properties of neutral operator, we establish some new sufficient criteria for the existence and global attractiveness of periodic solutions. Finally, an example demonstrates our findings.

References

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