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

^*Šī darba korespondējošais autors

Matemātikas nodaļa

University of Latvia
Rochester Institute of Technology

Zinātniskās darbības rezultāts: Devums žurnālam › Zinātniskais raksts (žurnālā) › koleģiāli recenzēts

8 Atsauces (Scopus)

Kopsavilkums

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.

Oriģinālvaloda	Angļu
Lapas (no-līdz)	293-303
Lapu skaits	11
Žurnāls	Applied Mathematics and Computation
Sējums	266
DOIs	https://doi.org/10.1016/j.amc.2015.05.097
Publikācijas statuss	Publicēts - 8 jūn. 2015

OECD Zinātnes nozare

1.1 Matemātika

Piekļuve Dokumentiem

10.1016/j.amc.2015.05.097

Citi faili un saites

Saite uz publikāciju Scopus

Citēt šo

@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",

pages = "293--303",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

}

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

Kopsavilkums

OECD Zinātnes nozare

Piekļuve Dokumentiem

Citi faili un saites

Nospiedums

Citēt šo