Pseudo almost periodic solutions for quaternion-valued high-order Hopfield neural networks with time-varying delays and leakage delays on time scales

Xiaofang Meng; Yongkun Li; Xiaofang Meng; Yongkun Li

doi:10.3934/math.2021585

AIMS Mathematics

2021, Volume 6, Issue 9: 10070-10091. doi: 10.3934/math.2021585

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Research article

Pseudo almost periodic solutions for quaternion-valued high-order Hopfield neural networks with time-varying delays and leakage delays on time scales

Xiaofang Meng ,
Yongkun Li ^,

Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China

Received: 24 February 2021 Accepted: 05 July 2021 Published: 07 July 2021
MSC : 34K14, 34K20, 34N05, 92B20

This paper deals with a class of quaternion-valued high-order Hopfield neural networks with time-varying delays and leakage delays on time scales. Based on the Banach fixed point theorem and the theory of calculus on time scales, some sufficient conditions are obtained for the existence and global exponential stability of pseudo almost periodic solutions for the considered networks. The results of this paper are completely new. Finally, an example is presented to illustrate the effectiveness of the obtained results.
- Hopfield neural networks,
- quaternion,
- pseudo almost periodic solutions,
- leakage delays,
- time scales
Citation: Xiaofang Meng, Yongkun Li. Pseudo almost periodic solutions for quaternion-valued high-order Hopfield neural networks with time-varying delays and leakage delays on time scales[J]. AIMS Mathematics, 2021, 6(9): 10070-10091. doi: 10.3934/math.2021585

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Abstract

This paper deals with a class of quaternion-valued high-order Hopfield neural networks with time-varying delays and leakage delays on time scales. Based on the Banach fixed point theorem and the theory of calculus on time scales, some sufficient conditions are obtained for the existence and global exponential stability of pseudo almost periodic solutions for the considered networks. The results of this paper are completely new. Finally, an example is presented to illustrate the effectiveness of the obtained results.

References

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