Construction of an Infinite Cyclic Group Formed by Artificial Differential Neurons

Abstract

Infinite cyclic groups created by various objects belong to the class to the class basic algebraic structures. In this paper, we construct the infinite cyclic group of differential neurons which are modifications of artificial neurons in analogy to linear ordinary differential operators of the n-th order. We also describe some of their basic properties.

Keywords

• time-varying artificial neuron
• cyclic group
• linear differential operator