Almost automorphic solutions in distribution for octonion-valued stochastic recurrent neural networks with time-varying delays

In this paper, we consider a class of octonion-valued stochastic recurrent neural networks with time-varying delays whose state variables, self-feedback coefficients, connection weights and external inputs of the networks are all octonion-valued functions. Based on Banach fixed point theorem and inequality technique, we obtain the existence, uniqueness and global exponential stability of almost automorphic solutions in distribution of this kind of neural networks. Our results are new. Finally, an example is given to illustrate the effectiveness of our results.

Automated summary

In this paper, a class of octonion-valued stochastic recurrent neural networks with time-varying delays is considered. The existence, uniqueness, and global exponential stability of almost automorphic solutions in distribution are proved using Banach fixed point theorem and inequality technique. The results obtained in this study are new. An illustrative example is also provided to demonstrate the effectiveness of the results.