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On Cycles in Models of Functioning of Circular Gene Networks. / Golubyatnikov, V. P.; Kirillova, N. E.

In: Journal of Mathematical Sciences (United States), Vol. 246, No. 6, 01.05.2020, p. 779-787.

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

Harvard

Golubyatnikov, VP & Kirillova, NE 2020, 'On Cycles in Models of Functioning of Circular Gene Networks', Journal of Mathematical Sciences (United States), vol. 246, no. 6, pp. 779-787. https://doi.org/10.1007/s10958-020-04780-7

APA

Golubyatnikov, V. P., & Kirillova, N. E. (2020). On Cycles in Models of Functioning of Circular Gene Networks. Journal of Mathematical Sciences (United States), 246(6), 779-787. https://doi.org/10.1007/s10958-020-04780-7

Vancouver

Golubyatnikov VP, Kirillova NE. On Cycles in Models of Functioning of Circular Gene Networks. Journal of Mathematical Sciences (United States). 2020 May 1;246(6):779-787. doi: 10.1007/s10958-020-04780-7

Author

Golubyatnikov, V. P. ; Kirillova, N. E. / On Cycles in Models of Functioning of Circular Gene Networks. In: Journal of Mathematical Sciences (United States). 2020 ; Vol. 246, No. 6. pp. 779-787.

BibTeX

@article{7c2288efac7444649c800a84f7283cff,
title = "On Cycles in Models of Functioning of Circular Gene Networks",
abstract = "We study the phase portrait of a nonlinear 10-dimensional dynamical system that simulates the functioning of one circular gene network. We find sufficient conditions for the existence of a cycle in the phase portrait. For a similar 18-dimensional dynamical system we obtain conditions for the existence of at least two cycles in the phase portrait.",
author = "Golubyatnikov, {V. P.} and Kirillova, {N. E.}",
year = "2020",
month = may,
day = "1",
doi = "10.1007/s10958-020-04780-7",
language = "English",
volume = "246",
pages = "779--787",
journal = "Journal of Mathematical Sciences (United States)",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - On Cycles in Models of Functioning of Circular Gene Networks

AU - Golubyatnikov, V. P.

AU - Kirillova, N. E.

PY - 2020/5/1

Y1 - 2020/5/1

N2 - We study the phase portrait of a nonlinear 10-dimensional dynamical system that simulates the functioning of one circular gene network. We find sufficient conditions for the existence of a cycle in the phase portrait. For a similar 18-dimensional dynamical system we obtain conditions for the existence of at least two cycles in the phase portrait.

AB - We study the phase portrait of a nonlinear 10-dimensional dynamical system that simulates the functioning of one circular gene network. We find sufficient conditions for the existence of a cycle in the phase portrait. For a similar 18-dimensional dynamical system we obtain conditions for the existence of at least two cycles in the phase portrait.

UR - http://www.scopus.com/inward/record.url?scp=85082925206&partnerID=8YFLogxK

U2 - 10.1007/s10958-020-04780-7

DO - 10.1007/s10958-020-04780-7

M3 - Article

AN - SCOPUS:85082925206

VL - 246

SP - 779

EP - 787

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

SN - 1072-3374

IS - 6

ER -

ID: 23996136