Standard

On Uniqueness of a Cycle in One Circular Gene Network Model. / Golubyatnikov, V. P.; Minushkina, L. S.

In: Siberian Mathematical Journal, Vol. 63, No. 1, 01.2022, p. 79-86.

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

Harvard

Golubyatnikov, VP & Minushkina, LS 2022, 'On Uniqueness of a Cycle in One Circular Gene Network Model', Siberian Mathematical Journal, vol. 63, no. 1, pp. 79-86. https://doi.org/10.1134/S0037446622010062

APA

Golubyatnikov, V. P., & Minushkina, L. S. (2022). On Uniqueness of a Cycle in One Circular Gene Network Model. Siberian Mathematical Journal, 63(1), 79-86. https://doi.org/10.1134/S0037446622010062

Vancouver

Golubyatnikov VP, Minushkina LS. On Uniqueness of a Cycle in One Circular Gene Network Model. Siberian Mathematical Journal. 2022 Jan;63(1):79-86. doi: 10.1134/S0037446622010062

Author

Golubyatnikov, V. P. ; Minushkina, L. S. / On Uniqueness of a Cycle in One Circular Gene Network Model. In: Siberian Mathematical Journal. 2022 ; Vol. 63, No. 1. pp. 79-86.

BibTeX

@article{35352cd959a742359e4a3e2e2991986d,
title = "On Uniqueness of a Cycle in One Circular Gene Network Model",
abstract = "We obtain conditions for uniqueness of a cycle in the phase portraitof a piecewise linear dynamical systemof the Elowitz–Leibler typewhich simulates the functioning of a simplest circular gene network.We describe the behavior of trajectories of this systemin the invariant toric neighborhood of the cycle.",
keywords = "514.745.82, block-linear dynamical system, circular gene network, cycle, fixed point, invariant domain, Poincar{\'e} map, positive and negative feedbacks",
author = "Golubyatnikov, {V. P.} and Minushkina, {L. S.}",
note = "Funding Information: The authors are sincerely grateful to V.V. Ivanov and an anonymous referee for their useful advice and critical remarks. Publisher Copyright: {\textcopyright} 2022, Pleiades Publishing, Ltd.",
year = "2022",
month = jan,
doi = "10.1134/S0037446622010062",
language = "English",
volume = "63",
pages = "79--86",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "1",

}

RIS

TY - JOUR

T1 - On Uniqueness of a Cycle in One Circular Gene Network Model

AU - Golubyatnikov, V. P.

AU - Minushkina, L. S.

N1 - Funding Information: The authors are sincerely grateful to V.V. Ivanov and an anonymous referee for their useful advice and critical remarks. Publisher Copyright: © 2022, Pleiades Publishing, Ltd.

PY - 2022/1

Y1 - 2022/1

N2 - We obtain conditions for uniqueness of a cycle in the phase portraitof a piecewise linear dynamical systemof the Elowitz–Leibler typewhich simulates the functioning of a simplest circular gene network.We describe the behavior of trajectories of this systemin the invariant toric neighborhood of the cycle.

AB - We obtain conditions for uniqueness of a cycle in the phase portraitof a piecewise linear dynamical systemof the Elowitz–Leibler typewhich simulates the functioning of a simplest circular gene network.We describe the behavior of trajectories of this systemin the invariant toric neighborhood of the cycle.

KW - 514.745.82

KW - block-linear dynamical system

KW - circular gene network

KW - cycle

KW - fixed point

KW - invariant domain

KW - Poincaré map

KW - positive and negative feedbacks

UR - http://www.scopus.com/inward/record.url?scp=85123578478&partnerID=8YFLogxK

U2 - 10.1134/S0037446622010062

DO - 10.1134/S0037446622010062

M3 - Article

AN - SCOPUS:85123578478

VL - 63

SP - 79

EP - 86

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 1

ER -

ID: 35386566