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Sibirskii Zhurnal Industrial'noi Matematiki, 2018, Volume 21, Number 4, Pages 28–38
DOI: https://doi.org/10.17377/sibjim.2018.21.403 (Mi sjim1019) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Cycles in the odd-dimensional models of circular gene networks

V. P. Golubyatnikov, V. V. Ivanov

Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia
Full-text PDF (269 kB) Citations (13)
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DOI: https://doi.org/10.17377/sibjim.2018.21.403
Abstract: The necessary and sufficient conditions are obtained for the existence of a cycle in an odd-dimensional nonlinear dynamical system that simulates the functioning of the simplest circular gene network. An invariant neighborhood of this cycle is described which is homeomorphic to a torus.
Keywords: block-linear autonomous system, phase portrait, circular gene network, fixed point of a monotonic mapping, cycle.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00057
Russian Academy of Sciences - Federal Agency for Scientific Organizations I.1.5, 0314-2018-0011
The authors were supported by the Russian Foundation for Basic Research (project no. 18-01-00057) and the Program of Basic Scientific Research of the Siberian Branch of the Russian Academy of Sciences No. I.1.5 (project no. 0314-2018-0011).
Received: 28.07.2018
English version:
Journal of Applied and Industrial Mathematics, 2018, Volume 12, Issue 4, Pages 648–657
DOI: https://doi.org/10.1134/S1990478918040051
Bibliographic databases:
Document Type: Article
UDC: 514.745.82
Language: Russian
Citation: V. P. Golubyatnikov, V. V. Ivanov, “Cycles in the odd-dimensional models of circular gene networks”, Sib. Zh. Ind. Mat., 21:4 (2018), 28–38; J. Appl. Industr. Math., 12:4 (2018), 648–657
Citation in format AMSBIB
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\paper Cycles in the odd-dimensional models of circular gene networks
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\yr 2018
\vol 21
\issue 4
\pages 28--38
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\transl
\jour J. Appl. Industr. Math.
\yr 2018
\vol 12
\issue 4
\pages 648--657
\crossref{https://doi.org/10.1134/S1990478918040051}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85058119048}
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    • This publication is cited in the following 13 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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