Yu. A. Gaydov, V. P. Golubyatnikov, “On some nonlinear dynamical systems modelling asymmetric gene networks”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 7:2 (2007), 19

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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2007, Volume 7, Issue 2, Pages 19–27 (Mi vngu259)

This article is cited in 12 scientific papers (total in 12 papers)

On some nonlinear dynamical systems modelling asymmetric gene networks

Yu. A. Gaydov, V. P. Golubyatnikov

Novosibirsk State University

Full-text PDF (382 kB) Citations (12)

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Abstract: We consider a wide class of 3-dimensional nonlinear dynamical systems as models of asymmetric gene networks functioning. The networks are being considered with negative feedbacks and with different regulation mechanisms. For these dynamical systems, geometric and topological characteristics of their phase portraits are studied, necessary and sufficient conditions of periodic trajectories existence are obtained, also Andronov–Hopf bifurcations are described.

Document Type: Article

UDC: 514.745.82

Language: Russian

Citation: Yu. A. Gaydov, V. P. Golubyatnikov, “On some nonlinear dynamical systems modelling asymmetric gene networks”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 7:2 (2007), 19–27

Citation in format AMSBIB

\Bibitem{GaiGol07}

\by Yu.~A.~Gaydov, V.~P.~Golubyatnikov

\paper On some nonlinear dynamical systems modelling asymmetric gene networks

\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.

\yr 2007

\vol 7

\issue 2

\pages 19--27

\mathnet{http://mi.mathnet.ru/vngu259}

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https://www.mathnet.ru/eng/vngu259

https://www.mathnet.ru/eng/vngu/v7/i2/p19

This publication is cited in the following 12 articles:

V. P. Golubyatnikov, N. E. Kirillova, L. S. Minushkina, “Chislennoe i matematicheskoe modelirovanie gennoi seti s nelineinoi degradatsiei komponent”, Sib. zhurn. vychisl. matem., 27:1 (2024), 1–10
L. S. Minushkina, “Periodicheskie traektorii nelineinykh modelei koltsevykh gennykh setei”, Vladikavk. matem. zhurn., 25:4 (2023), 80–90
N. B. Ayupova, V. P. Golubyatnikov, “Ob odnom tsikle v pyatimernoi modeli koltsevoi gennoi seti”, Sib. zhurn. industr. matem., 24:3 (2021), 19–29
V. P. Golubyatnikov, V. S. Gradov, “O needinstvennosti tsiklov v nekotorykh kusochno-lineinykh modelyakh koltsevykh gennykh setei”, Matem. tr., 23:1 (2020), 107–122
V. P. Golubyatnikov, N. E. Kirillova, “On cycles in models of functioning of circular gene networks”, J. Math. Sci., 246:6 (2020), 779–787
V. P. Golubyatnikov, V. V. Ivanov, L. S. Minushkina, “O suschestvovanii tsikla v odnoi nesimmetrichnoi modeli koltsevoi gennoi seti”, Sib. zhurn. chist. i prikl. matem., 18:3 (2018), 27–35
V. P. Golubyatnikov, A. E. Kalenykh, “On structure of phase portraits of some nonlinear dynamical systems”, J. Math. Sci., 215:4 (2016), 475–483
N. B. Ayupova, V. P. Golubyatnikov, “On the uniqueness of a cycle in an asymmetric $3$ -dimensional model of a molecular repressilator”, J. Appl. Industr. Math., 8:2 (2014), 153–157
A. A. Akinshin, T. A. Bukharina, V. P. Golubyatnikov, D. P. Furman, “Matematicheskoe modelirovanie vzaimodeistviya dvukh kletok v proneiralnom klastere krylovogo imaginalnogo diska D. melanogaster”, Vestn. NGU. Ser. matem., mekh., inform., 14:4 (2014), 3–10
A. A. Akinshin, V. P. Golubyatnikov, “Tsikly v simmetrichnykh dinamicheskikh sistemakh”, Vestn. NGU. Ser. matem., mekh., inform., 12:2 (2012), 3–12
V. P. Golubyatnikov, Yu. A. Gaidov, V. A. Likhoshvai, “O nekotorykh nelineinykh dinamicheskikh sistemakh, modeliruyuschikh nesimmetrichnye gennye seti. 2”, Vestn. NGU. Ser. matem., mekh., inform., 10:1 (2010), 18–28
V. P. Golubyatnikov, I. V. Golubyatnikov, “O periodicheskikh traektoriyakh nelineinykh dinamicheskikh sistem spetsialnogo vida”, Vestn. NGU. Ser. matem., mekh., inform., 10:3 (2010), 3–16

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Вестник Новосибирского государственного университета. Серия: математика, механика, информатика

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