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Pseudo Almost Periodic Synchronization of OVCNNs with Time-Varying Delays and Distributed Delays on Time Scales

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Abstract

This paper investigates the problem of the pseudo almost periodic synchronization in octonion-valued cellular neural networks with time-varying and distributed delays on time scales, employing a non-decomposition method. Secondly, by using the differential inequality technique on the time scale, Banach fixed point theorem, and calculus theory on the time scale are utilized to derive a sufficient condition for the existence of pseudo almost periodic solutions in the neural network on the time scale. Thirdly, the forensic method is employed to achieve the pseudo almost periodic synchronization in the network error system. Finally, a numerical example is given to illustrate the effectiveness of the results. The results obtained in this paper are new even for differential equations and difference equations.

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The authors declare that the manuscript has no associated data.

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Authors and Affiliations

  1. School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, 650221, Yunnan, China

    Shiping Shen, Xiaofang Meng & Li Yang

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  1. Shiping Shen
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  2. Xiaofang Meng
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Correspondence to Shiping Shen.

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This work is supported by the Social Science Program of Yunnan University of Finance and Economics and the Fundamental Research Funds of Yunnan Province of China (2023J0654, 2021D12, 2022J0480, 202201AU070170, 202001AT070066).

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Shen, S., Meng, X. & Yang, L. Pseudo Almost Periodic Synchronization of OVCNNs with Time-Varying Delays and Distributed Delays on Time Scales. Qual. Theory Dyn. Syst. 23, 30 (2024). https://doi.org/10.1007/s12346-023-00885-x

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