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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 1, Pages 3–7 (Mi sjim813)  
This article is cited in 19 scientific papers (total in 19 papers)

On the uniqueness of a cycle in an asymmetric $3$-dimensional model of a molecular repressilator

N. B. Ayupovaab, V. P. Golubyatnikovab

a Sobolev Institute of Mathematics, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk
Full-text PDF (210 kB) Citations (19)
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Abstract: We obtain sufficient conditions for the uniqueness of cycles in some nonlinear dynamical systems considered as models for the functioning of a molecular repressilator. A constructive method for the determination of the invariant surface containing this cycle is described as well.
Keywords: nonlinear dynamical system, phase portrait, invariant domain, molecular repressilator, cycle, projective transformation.
Received: 18.11.2013
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 2, Pages 153–157
DOI: https://doi.org/10.1134/S199047891402001X
Bibliographic databases:
Document Type: Article
UDC: 514.745.82
Language: Russian
Citation: N. B. Ayupova, V. P. Golubyatnikov, “On the uniqueness of a cycle in an asymmetric $3$-dimensional model of a molecular repressilator”, Sib. Zh. Ind. Mat., 17:1 (2014), 3–7; J. Appl. Industr. Math., 8:2 (2014), 153–157
Citation in format AMSBIB
\Bibitem{AyuGol14}
\by N.~B.~Ayupova, V.~P.~Golubyatnikov
\paper On the uniqueness of a~cycle in an asymmetric $3$-dimensional model of a~molecular repressilator
\jour Sib. Zh. Ind. Mat.
\yr 2014
\vol 17
\issue 1
\pages 3--7
\mathnet{http://mi.mathnet.ru/sjim813}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3379248}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 2
\pages 153--157
\crossref{https://doi.org/10.1134/S199047891402001X}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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