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Sibirskii Zhurnal Industrial'noi Matematiki, 2022, Volume 25, Number 3, Pages 25–32
DOI: https://doi.org/10.33048/SIBJIM.2021.25.303 (Mi sjim1179) 		 
This article is cited in 3 scientific papers (total in 3 papers)

An attracting limit cycle of an odd-dimensional circular gene network model

V. V. Ivanov

Sobolev Institute of Mathematics SB RAS, pr. Acad. Koptyuga 4, Novosibirsk 630090, Russia
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DOI: https://doi.org/10.33048/SIBJIM.2021.25.303
Abstract: For an odd-dimensional autonomous system which simulates functioning of a circular gene network regulated by negative feedbacks only, we construct an invariant domain homeomorphic to torus. This domain contains a limit cycle of this system, and trajectories of all its points are attracted by this cycle.
Keywords: circular gene network model, negative feedbacks, invariant torus, Poincaré mapping, fixed point, limit cycle.
Received: 01.04.2021
Revised: 01.04.2021
Accepted: 22.06.2022
Document Type: Article
UDC: 514.745.82
Language: Russian
Citation: V. V. Ivanov, “An attracting limit cycle of an odd-dimensional circular gene network model”, Sib. Zh. Ind. Mat., 25:3 (2022), 25–32
Citation in format AMSBIB
\Bibitem{Iva22}
\by V.~V.~Ivanov
\paper An attracting limit cycle of an odd-dimensional circular gene network model
\jour Sib. Zh. Ind. Mat.
\yr 2022
\vol 25
\issue 3
\pages 25--32
\mathnet{http://mi.mathnet.ru/sjim1179}
\crossref{https://doi.org/10.33048/SIBJIM.2021.25.303}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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