Standard

On the existence of a cycle in an asymmetric model of a molecular repressilator. / Ayupova, N. B.; Golubyatnikov, V. P.; Kazantsev, M. V.

In: Numerical Analysis and Applications, Vol. 10, No. 2, 01.04.2017, p. 101-107.

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

Harvard

Ayupova, NB, Golubyatnikov, VP & Kazantsev, MV 2017, 'On the existence of a cycle in an asymmetric model of a molecular repressilator', Numerical Analysis and Applications, vol. 10, no. 2, pp. 101-107. https://doi.org/10.1134/S199542391702001X

APA

Ayupova, N. B., Golubyatnikov, V. P., & Kazantsev, M. V. (2017). On the existence of a cycle in an asymmetric model of a molecular repressilator. Numerical Analysis and Applications, 10(2), 101-107. https://doi.org/10.1134/S199542391702001X

Vancouver

Ayupova NB, Golubyatnikov VP, Kazantsev MV. On the existence of a cycle in an asymmetric model of a molecular repressilator. Numerical Analysis and Applications. 2017 Apr 1;10(2):101-107. doi: 10.1134/S199542391702001X

Author

Ayupova, N. B. ; Golubyatnikov, V. P. ; Kazantsev, M. V. / On the existence of a cycle in an asymmetric model of a molecular repressilator. In: Numerical Analysis and Applications. 2017 ; Vol. 10, No. 2. pp. 101-107.

BibTeX

@article{b8252d214a6843208eee9ce40f3a56fe,
title = "On the existence of a cycle in an asymmetric model of a molecular repressilator",
abstract = "In this paper, a nonlinear six-dimensional dynamic system, which is a model of functioning of a simple molecular repressilator, is considered. Sufficient conditions for the existence of a cycle C in the phase portrait of this system are found. An invariant neighborhood of C, which retracts to C, is constructed.",
keywords = "Brower{\textquoteright}s fixed point theorem, cycles, gene network models, hyperbolic equilibrium points, nonlinear dynamic systems, phase portrait discretization",
author = "Ayupova, {N. B.} and Golubyatnikov, {V. P.} and Kazantsev, {M. V.}",
year = "2017",
month = apr,
day = "1",
doi = "10.1134/S199542391702001X",
language = "English",
volume = "10",
pages = "101--107",
journal = "Numerical Analysis and Applications",
issn = "1995-4239",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - On the existence of a cycle in an asymmetric model of a molecular repressilator

AU - Ayupova, N. B.

AU - Golubyatnikov, V. P.

AU - Kazantsev, M. V.

PY - 2017/4/1

Y1 - 2017/4/1

N2 - In this paper, a nonlinear six-dimensional dynamic system, which is a model of functioning of a simple molecular repressilator, is considered. Sufficient conditions for the existence of a cycle C in the phase portrait of this system are found. An invariant neighborhood of C, which retracts to C, is constructed.

AB - In this paper, a nonlinear six-dimensional dynamic system, which is a model of functioning of a simple molecular repressilator, is considered. Sufficient conditions for the existence of a cycle C in the phase portrait of this system are found. An invariant neighborhood of C, which retracts to C, is constructed.

KW - Brower’s fixed point theorem

KW - cycles

KW - gene network models

KW - hyperbolic equilibrium points

KW - nonlinear dynamic systems

KW - phase portrait discretization

UR - http://www.scopus.com/inward/record.url?scp=85020215855&partnerID=8YFLogxK

U2 - 10.1134/S199542391702001X

DO - 10.1134/S199542391702001X

M3 - Article

AN - SCOPUS:85020215855

VL - 10

SP - 101

EP - 107

JO - Numerical Analysis and Applications

JF - Numerical Analysis and Applications

SN - 1995-4239

IS - 2

ER -

ID: 9410703