Almost periodic oscillation in distribution for octonion-valued neutral-type stochastic recurrent neural networks with D operator

In this paper, a class of octonion-valued neutral-type stochastic recurrent neural networks with D operator is concerned. Except for the time delay, all connection weight functions, activation functions and external inputs of such networks are octonions. Based on the Banach fixed point theorem, the definition of almost periodic stochastic processes in distribution and the inequality technique, the existence and uniqueness of almost periodic solutions in distribution of this class of stochastic neural networks are established by direct methods. The results and methods in this paper are new. Even if the network studied in this paper is a real-valued network, the results of this paper are new. Finally, an example is given to illustrate the validity of the obtained results.

Automated summary

This paper investigates a class of octonion-valued neutral-type stochastic recurrent neural networks with D operator. Except for the time delay, all connection weight functions, activation functions and external inputs of such networks are octonions. The existence and uniqueness of almost periodic solutions in distribution of this class of stochastic neural networks are established based on the Banach fixed point theorem, the definition of almost periodic stochastic processes in distribution and the inequality technique. The results and methods in this paper are new. Even if the network studied in this paper is a real-valued network, the results of this paper are also new. An example is provided to demonstrate the validity of the obtained results.