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Sibirskii Zhurnal Industrial'noi Matematiki, 2013, Volume 16, Number 1, Pages 3–9 (Mi sjim761)  
This article is cited in 11 scientific papers (total in 11 papers)

On some many-dimensional models of the functioning of gene networks

A. A. Akinshina, V. P. Golubyatnikovb, I. V. Golubyatnikovb

a Polzunov Altay State Technical University, Barnaul, Russia
b Sobolev Institute of Mathematics of the SDRAS, Novosibirsk, Russia
Full-text PDF (211 kB) Citations (11)
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Abstract: We obtain a sufficient condition for the nonuniqueness of cycles in some nonlinear dynamical systems considered as models of the functioning of gene networks. Some constructive methods of determination of these cycles and invariant surfaces containing these cycles are described as well.
Keywords: nonlinear dynamical systems, gene networks models, phase portraits, invariant domains, stationary points, cycles.
Received: 21.01.2013
English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 3, Pages 296–301
DOI: https://doi.org/10.1134/S1990478913030022
Bibliographic databases:
Document Type: Article
UDC: 514.745.82
Language: Russian
Citation: A. A. Akinshin, V. P. Golubyatnikov, I. V. Golubyatnikov, “On some many-dimensional models of the functioning of gene networks”, Sib. Zh. Ind. Mat., 16:1 (2013), 3–9; J. Appl. Industr. Math., 7:3 (2013), 296–301
Citation in format AMSBIB
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\by A.~A.~Akinshin, V.~P.~Golubyatnikov, I.~V.~Golubyatnikov
\paper On some many-dimensional models of the functioning of gene networks
\jour Sib. Zh. Ind. Mat.
\yr 2013
\vol 16
\issue 1
\pages 3--9
\mathnet{http://mi.mathnet.ru/sjim761}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3203300}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 3
\pages 296--301
\crossref{https://doi.org/10.1134/S1990478913030022}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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