Periodic orbits of a neuron model with periodic internal decay rate

被引：3
作者：
Bula, I. [1 ,2 ]
Radin, M. A. [3 ]
机构：
[1] Latvian State Univ, LV-1002 Riga, Latvia
[2] Latvian State Univ, Inst Math & Comp Sci, LV-1048 Riga, Latvia
[3] Rochester Inst Technol, Rochester, NY 14623 USA
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 266卷
关键词：
Neuron model; Difference equation; Periodic orbits; Stability; TIME NETWORK MODEL; DISCRETE;
D O I：
10.1016/j.amc.2015.05.097
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we will study a non autonomous piece wise linear difference equation which describes a discrete version of a single neuron model with a periodic internal decay rate. We will investigate the periodic behavior of solutions relative to the periodic internal decay rate. Furthermore, we will show that only periodic orbits of even periods can exist and show their stability character. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：293 / 303
页数：11
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