Global dynamic analysis of periodic solution for discrete-time inertial neural networks with delays

Zejian Dai; Bo Du; Zejian Dai; Bo Du

doi:10.3934/math.2021194

AIMS Mathematics

2021, Volume 6, Issue 4: 3242-3256. doi: 10.3934/math.2021194

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Research article

Global dynamic analysis of periodic solution for discrete-time inertial neural networks with delays

Zejian Dai ¹,
Bo Du ^{2
,
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1.
School of Mathematics and Statistics, Chaohu University, Chaohu Anhui, 238024, P. R. China
2.
School of Mathematics and Statistics, Huaiyin Normal University, Huaian Jiangsu, 223300, P. R. China

Received: 11 November 2020 Accepted: 11 January 2021 Published: 15 January 2021
MSC : 34C25, 34C13

This paper is devoted to studying global dynamic behaviours of periodic solutions of discrete-time inertial neural networks with delays by applying Mawhin's continuation theorem and some innovative mathematical analysis techniques. Finally, an numerical example is given to illustrate our theoretical results.
- periodic solution,
- discrete-time,
- inertial neural networks,
- stability
Citation: Zejian Dai, Bo Du. Global dynamic analysis of periodic solution for discrete-time inertial neural networks with delays[J]. AIMS Mathematics, 2021, 6(4): 3242-3256. doi: 10.3934/math.2021194

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Abstract

This paper is devoted to studying global dynamic behaviours of periodic solutions of discrete-time inertial neural networks with delays by applying Mawhin's continuation theorem and some innovative mathematical analysis techniques. Finally, an numerical example is given to illustrate our theoretical results.

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