Standard

On uniqueness and stability of a cycle in one gene network. / Golubyatnikov, V. P.; Minushkina, L. S.

In: Siberian Electronic Mathematical Reports, Vol. 18, No. 1, 32, 2021, p. 464-473.

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

Harvard

Golubyatnikov, VP & Minushkina, LS 2021, 'On uniqueness and stability of a cycle in one gene network', Siberian Electronic Mathematical Reports, vol. 18, no. 1, 32, pp. 464-473. https://doi.org/10.33048/semi.2021.18.032

APA

Golubyatnikov, V. P., & Minushkina, L. S. (2021). On uniqueness and stability of a cycle in one gene network. Siberian Electronic Mathematical Reports, 18(1), 464-473. [32]. https://doi.org/10.33048/semi.2021.18.032

Vancouver

Golubyatnikov VP, Minushkina LS. On uniqueness and stability of a cycle in one gene network. Siberian Electronic Mathematical Reports. 2021;18(1):464-473. 32. doi: 10.33048/semi.2021.18.032

Author

Golubyatnikov, V. P. ; Minushkina, L. S. / On uniqueness and stability of a cycle in one gene network. In: Siberian Electronic Mathematical Reports. 2021 ; Vol. 18, No. 1. pp. 464-473.

BibTeX

@article{8b59a2a268374c1fb0b9e700c233d82b,
title = "On uniqueness and stability of a cycle in one gene network",
abstract = "We describe necessary and suffcient conditions for uniqueness and stability of a cycle in an invariant domain of phase portrait of one Glass-Pasternack type block-linear dynamical system that simulates functioning of one natural gene network. Existence of such a cycle, geometry and combinatorics of phase portraits of similar systems were studied in our previous publications.",
keywords = "circular gene network, cycles, fixed points, invariant domains, phase portraits, piecewise linear dynamical systems, Poincare map",
author = "Golubyatnikov, {V. P.} and Minushkina, {L. S.}",
note = "Funding Information: The authors are indebted to I.I.Matveeva, V.V.Ivanov, S.A.Kantor, and unknown referee for helpful discussions and critical comments. The work was partially supported by by the Program of fundamental scientific researches of the SB RAS N I.1.5., project N 0314-2019-0011. Publisher Copyright: {\textcopyright} 2021 Golubyatnikov V.P., Minushkina L.S. All Rights Reserved.",
year = "2021",
doi = "10.33048/semi.2021.18.032",
language = "English",
volume = "18",
pages = "464--473",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",
number = "1",

}

RIS

TY - JOUR

T1 - On uniqueness and stability of a cycle in one gene network

AU - Golubyatnikov, V. P.

AU - Minushkina, L. S.

N1 - Funding Information: The authors are indebted to I.I.Matveeva, V.V.Ivanov, S.A.Kantor, and unknown referee for helpful discussions and critical comments. The work was partially supported by by the Program of fundamental scientific researches of the SB RAS N I.1.5., project N 0314-2019-0011. Publisher Copyright: © 2021 Golubyatnikov V.P., Minushkina L.S. All Rights Reserved.

PY - 2021

Y1 - 2021

N2 - We describe necessary and suffcient conditions for uniqueness and stability of a cycle in an invariant domain of phase portrait of one Glass-Pasternack type block-linear dynamical system that simulates functioning of one natural gene network. Existence of such a cycle, geometry and combinatorics of phase portraits of similar systems were studied in our previous publications.

AB - We describe necessary and suffcient conditions for uniqueness and stability of a cycle in an invariant domain of phase portrait of one Glass-Pasternack type block-linear dynamical system that simulates functioning of one natural gene network. Existence of such a cycle, geometry and combinatorics of phase portraits of similar systems were studied in our previous publications.

KW - circular gene network

KW - cycles

KW - fixed points

KW - invariant domains

KW - phase portraits

KW - piecewise linear dynamical systems

KW - Poincare map

UR - http://www.scopus.com/inward/record.url?scp=85108815452&partnerID=8YFLogxK

UR - https://elibrary.ru/item.asp?id=46265224

U2 - 10.33048/semi.2021.18.032

DO - 10.33048/semi.2021.18.032

M3 - Article

AN - SCOPUS:85108815452

VL - 18

SP - 464

EP - 473

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 1

M1 - 32

ER -

ID: 34152566