Periodic orbits of a neuron model with periodic internal decay rate

I. Bula; M. A. Radin

doi:10.1016/j.amc.2015.05.097

Periodic orbits of a neuron model with periodic internal decay rate

I. Bula^*
, M. A. Radin

^*Corresponding author for this work

Department of Mathematics

University of Latvia
Rochester Institute of Technology

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

In this paper we will study a non-autonomous piecewise 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.

Original language	English
Pages (from-to)	293-303
Number of pages	11
Journal	Applied Mathematics and Computation
Volume	266
DOIs	https://doi.org/10.1016/j.amc.2015.05.097
Publication status	Published - 8 Jun 2015

OECD Field of Science

1.1 Mathematics

Keywords

Difference equation
Neuron model
Periodic orbits
Stability

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10.1016/j.amc.2015.05.097

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@article{293078690ffa47acb29d925bc145ea33,

title = "Periodic orbits of a neuron model with periodic internal decay rate",

abstract = "In this paper we will study a non-autonomous piecewise 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.",

keywords = "Difference equation, Neuron model, Periodic orbits, Stability",

author = "I. Bula and Radin, \{M. A.\}",

year = "2015",

month = jun,

day = "8",

doi = "10.1016/j.amc.2015.05.097",

language = "English",

volume = "266",

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journal = "Applied Mathematics and Computation",

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TY - JOUR

T1 - Periodic orbits of a neuron model with periodic internal decay rate

AU - Bula, I.

AU - Radin, M. A.

PY - 2015/6/8

Y1 - 2015/6/8

N2 - In this paper we will study a non-autonomous piecewise 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.

AB - In this paper we will study a non-autonomous piecewise 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.

KW - Difference equation

KW - Neuron model

KW - Periodic orbits

KW - Stability

UR - https://www.scopus.com/pages/publications/84930631244

U2 - 10.1016/j.amc.2015.05.097

DO - 10.1016/j.amc.2015.05.097

M3 - Article

AN - SCOPUS:84930631244

SN - 0096-3003

VL - 266

SP - 293

EP - 303

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Periodic orbits of a neuron model with periodic internal decay rate

Abstract

OECD Field of Science

Keywords

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