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Sibirskii Zhurnal Industrial'noi Matematiki, 2022, Volume 25, Number 4, Pages 5–13
DOI: https://doi.org/10.33048/SIBJIM.2021.25.401 (Mi sjim1191) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On invariant surfaces in phase portraits of circular gene networks models

N. B. Ayupovaa, V. P. Golubyatnikova, L. S. Minushkinab

a Sobolev Institute of Mathematics SB RAS, pr. Acad. Koptyuga 4, Novosibirsk 630090, Russia
b Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia
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DOI: https://doi.org/10.33048/SIBJIM.2021.25.401
Abstract: For block-linear dynamical system of dimensions 3 and 4 considered as models of simplest circular gene networks, we find sufficient conditions of existence of invariant surfaces in their phase portraits. These surfaces contain periodic trajectories of the dynamical systems.
Keywords: block-linear dynamical systems, invariant domains, invariant surfaces, Poincaré map, fixed point, cycles, Grobman—Hartman theorem, Perron—Frobenius theorem. .
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0009
Received: 25.04.2022
Revised: 25.04.2022
Accepted: 22.06.2022
Document Type: Article
UDC: 517.938
Language: Russian
Citation: N. B. Ayupova, V. P. Golubyatnikov, L. S. Minushkina, “On invariant surfaces in phase portraits of circular gene networks models”, Sib. Zh. Ind. Mat., 25:4 (2022), 5–13
Citation in format AMSBIB
\Bibitem{AyuGolMin22}
\by N.~B.~Ayupova, V.~P.~Golubyatnikov, L.~S.~Minushkina
\paper On invariant surfaces in phase portraits
of circular gene networks models
\jour Sib. Zh. Ind. Mat.
\yr 2022
\vol 25
\issue 4
\pages 5--13
\mathnet{http://mi.mathnet.ru/sjim1191}
\crossref{https://doi.org/10.33048/SIBJIM.2021.25.401}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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