Abstract
In this paper, we consider a non-autonomous piecewise linear difference equation that describes a discrete version of a single neuron model with a periodic (period two and period three) internal decay rate. We investigated the periodic behavior of solutions relative to the periodic internal decay rate in our previous papers. Our goal is to prove that this model contains a large quantity of initial conditions that generate eventually periodic solutions. We will show that only periodic solutions and eventually periodic solutions exist in several cases.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Publication Date
11-1-2020
Document Type
Article
Department, Program, or Center
School of Mathematical Sciences (COS)
Recommended Citation
Bula I. and Radin M. A. (2020) “Eventually periodic solutions of single neuron model”, Nonlinear Analysis: Modelling and Control, 25(6), pp. 903-918. doi: 10.15388/namc.2020.25.20555.
Campus
RIT – Main Campus
