Periodic solutions of discrete-time Quaternion-valued BAM neural networks

Donghua Li, Zhengqiu Zhang and Xiaoluan Zhang

Chaos, Solitons & Fractals, 2020, vol. 138, issue C

Abstract: The existence and global asymptotic stability of periodic solutions for a class of discrete-time Quaternion-valued BAM neural networks are considered. Without using the estimate priori approach of periodic solutions, the fixed point theorem and the approach of combining a continuation theorem of coincidence degree theory with a Lyapunov sequence, without decomposing the discrete-time Quaternion-valued BAM neural networks into eight real-valued differential equations, by using a continuation theorem and constructing two Lyapunov sequences, the criterion to ensure the existence of periodic solutions for the considered networks is put forward. Next, by constructing two Lyapunov sequences, a criterion assuring the global asymptotic stability of periodic solutions of the quaternion-valued neural networks is achieved. Compared with the skills and results in the existing literature, our skills and results are completely new.

Keywords: Discrete-time Quaternion-valued BAM networks; The existence of periodic solutions; Global asymptotic stability; Inequality craftsmanships (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:138:y:2020:i:c:s0960077920305403

DOI: 10.1016/j.chaos.2020.110144

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