Affiliations: School of Mathematics and Computer Science, Yunnan Minzu University, Kunming, Yunnan, China
| Department of Mathematics, Yunnan University, Kunming, Yunnan, China
Correspondence:
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Corresponding author. Yongkun Li, Department of Mathematics, Yunnan University,Kunming,Yunnan 650091, China. E-mail: yklie@ynu.edu.cn.
Abstract: In this paper, the existence, uniqueness and global exponential stability of pseudo almost periodic solutions for a class of octonion-valued neutral type high-order Hopfield neural network models with D operator are established by using the Banach fixed point theorem and differential inequality techniques. Compared with most existing models, in this class of networks, all connection weights and activation functions are assumed to be octonion-valued functions except for time delays. And unlike most of the existing methods of studying octonion-valued neural networks, our method is a non-decomposition method, that is, the method of directly studying octonion-valued systems. The results and methods in this paper are new. In addition, an example and its numerical simulation are given to illustrate the feasibility of our results.
Keywords: Octonion, neutral type neural network, D operator, pseudo almost periodic solution, global exponential stability
