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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 1, Pages 464–473
DOI: https://doi.org/10.33048/semi.2021.18.032 (Mi semr1373) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Differentical equations, dynamical systems and optimal control

On uniqueness and stability of a cycle in one gene network

V. P. Golubyatnikova, L. S. Minushkinab

a Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2, Pirogova str., Novosibirsk, 630090, Russia
Full-text PDF (486 kB) Citations (6)
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DOI: https://doi.org/10.33048/semi.2021.18.032
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, fixed points, cycles, piecewise linear dynamical systems, phase portraits, invariant domains, Poincaré map.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences 0314-2019-0011
Partially supported by SB RAS (0314-2019-0011).
Received January 28, 2021, published April 27, 2021
Bibliographic databases:
Document Type: Article
UDC: 514.745.82
MSC: 37N25
Language: English
Citation: V. P. Golubyatnikov, L. S. Minushkina, “On uniqueness and stability of a cycle in one gene network”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 464–473
Citation in format AMSBIB
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\by V.~P.~Golubyatnikov, L.~S.~Minushkina
\paper On uniqueness and stability of a cycle in one gene network
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 1
\pages 464--473
\mathnet{http://mi.mathnet.ru/semr1373}
\crossref{https://doi.org/10.33048/semi.2021.18.032}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000651770300001}
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  • https://www.mathnet.ru/eng/semr/v18/i1/p464
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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