Affiliations: Department of Mathematics, Yunnan University, Kunming, Yunnan, People’s Republic of China
Correspondence:
[*]
Corresponding author. Yongkun Li, Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, People’s Republic of China. E-mail: yklie@ynu.edu.cn.
Note: [] 1This work is supported by the National Natural Sciences Foundation of People’s Republic of China under Grants No. 11861072 and No. 11361072.
Abstract: In this paper, a class of quaternion-valued BAM neural networks with time-varying delays on time scales is proposed. Based on inequality analysis techniques on time scales, a fixed point theorem and the theory of calculus on time scales, the existence and global exponential stability of almost automorphic solutions for this class of neural networks is established. The obtained results are completely new and supplement to the known results. Finally, a numerical example is given to illustrate the feasibility of our results.
Keywords: BAM neural networks, Almost automorphic solution, Quaternion, Global
exponential stability, Time scales
