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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2010, Volume 13, Number 4, Pages 403–411 (Mi sjvm415)  
This article is cited in 18 scientific papers (total in 18 papers)

On the existence and stability of cycles in five-dimensional models of gene networks

V. P. Golubyatnikovab, I. V. Golubyatnikova, V. A. Likhoshvaibc

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Novosibirsk
c Institute of cytology and genetics Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (223 kB) Citations (18)
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Abstract: We obtain sufficient conditions for the existence and stability of closed trajectories in five-dimensional nonlinear dynamical systems which model gene networks with negative feedbacks.
Key words: gene networks, nonlinear dynamical systems, stationary points, periodic trajectories.
Received: 16.11.2009
Revised: 15.02.2010
English version:
Numerical Analysis and Applications, 2010, Volume 3, Issue 4, Pages 329–335
DOI: https://doi.org/10.1134/S199542391004004X
Bibliographic databases:
Document Type: Article
UDC: 514.745.82
Language: Russian
Citation: V. P. Golubyatnikov, I. V. Golubyatnikov, V. A. Likhoshvai, “On the existence and stability of cycles in five-dimensional models of gene networks”, Sib. Zh. Vychisl. Mat., 13:4 (2010), 403–411; Num. Anal. Appl., 3:4 (2010), 329–335
Citation in format AMSBIB
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\paper On the existence and stability of cycles in five-dimensional models of gene networks
\jour Sib. Zh. Vychisl. Mat.
\yr 2010
\vol 13
\issue 4
\pages 403--411
\mathnet{http://mi.mathnet.ru/sjvm415}
\transl
\jour Num. Anal. Appl.
\yr 2010
\vol 3
\issue 4
\pages 329--335
\crossref{https://doi.org/10.1134/S199542391004004X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78650410556}
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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