Siberian Journal of Pure and Applied Mathematics
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Siberian Journal of Pure and Applied Mathematics, 2018, Volume 18, Issue 3, Pages 27–35
DOI: https://doi.org/10.33048/pam.2018.18.303 (Mi vngu476) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On existence of a cycle in one asymmetric gene network model

V. P. Golubyatnikovab, V. V. Ivanova, L. S. Minushkinab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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DOI: https://doi.org/10.33048/pam.2018.18.303
Abstract: We find necessary and sufficient conditions of existence of a cycle in one nonlinear dynamical system considered as a gene network model.
Keywords: dynamical systems, cycles, Poincare mapping, fixed point theorem.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00057_a
Siberian Branch of Russian Academy of Sciences II.1 (№ 0314-2018-0011)
Received: 09.04.2018
Document Type: Article
UDC: 514.745.82
Language: Russian
Citation: V. P. Golubyatnikov, V. V. Ivanov, L. S. Minushkina, “On existence of a cycle in one asymmetric gene network model”, Sib. J. Pure and Appl. Math., 18:3 (2018), 27–35
Citation in format AMSBIB
\Bibitem{GolIvaMin18}
\by V.~P.~Golubyatnikov, V.~V.~Ivanov, L.~S.~Minushkina
\paper On existence of a cycle in one asymmetric gene network model
\jour Sib. J. Pure and Appl. Math.
\yr 2018
\vol 18
\issue 3
\pages 27--35
\mathnet{http://mi.mathnet.ru/vngu476}
\crossref{https://doi.org/10.33048/pam.2018.18.303}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал чистой и прикладной математики
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