Neuron model with a period three internal decay rate

摘要

In this paper we will study a non-autonomous piecewise linear differenceequation that describes a discrete version of a single neuron model. We will investigatethe periodic behavior of solutions relative to the sequence periodic with period threeinternal decay rate. In fact, we will show that only periodic cycles with period 3k,k = 1, 2, 3, . . . can exist and also show their stability character.