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Weighted pseudo almost periodic synchronization for Clifford-valued neural networks with leakage delay and proportional delay. (English) Zbl 1522.34098

Summary: This article explores a class of Clifford-valued neural networks with leakage delay and proportional delay. By using the non-decomposition method and Banach fixed point theorem, we obtain several sufficient conditions for the existence of weighted pseudo almost periodic solutions for Clifford-valued neural networks with leakage delay and proportional delay. By using the proof by contradiction, we get the global exponential synchronization for Clifford-valued neural networks with leakage delay and proportional delay. Finally, one illustrative example is given to illustrate the feasibility and effectiveness of the main results.

MSC:

34K24 Synchronization of functional-differential equations
34K14 Almost and pseudo-almost periodic solutions to functional-differential equations
15A66 Clifford algebras, spinors
92B20 Neural networks for/in biological studies, artificial life and related topics
47H10 Fixed-point theorems
Full Text: DOI

References:

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