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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2012, Volume 12, Issue 2, Pages 3–12 (Mi vngu114)  
This article is cited in 10 scientific papers (total in 10 papers)

Geometric characteristics of cycles in some symmetric dynamical systems

A. A. Akinshina, V. P. Golubyatnikovbc

a Altai State Technical University, Barnaul, Russia
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
c Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (883 kB) Citations (10)
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Abstract: We show non-uniqueness of cycles in phase portraits of some odd-dimensional nonlinear dynamical systems considered as models of gene networks regulated by negative feedbacks. We find geometric and analytic characteristics of these cycles and construct a graph, which describes qualitative behavior of trajectories of these dynamical systems.
Keywords: gene networks models, nonlinear dynamical systems, stationary points, invariant domains, periodic trajectories, unstable cycles, graphs, numerical modeling.
Received: 03.02.2012
Document Type: Article
UDC: 514.745.82
Language: Russian
Citation: A. A. Akinshin, V. P. Golubyatnikov, “Geometric characteristics of cycles in some symmetric dynamical systems”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:2 (2012), 3–12
Citation in format AMSBIB
\Bibitem{AkiGol12}
\by A.~A.~Akinshin, V.~P.~Golubyatnikov
\paper Geometric characteristics of cycles in some symmetric dynamical systems
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2012
\vol 12
\issue 2
\pages 3--12
\mathnet{http://mi.mathnet.ru/vngu114}
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    • This publication is cited in the following 10 articles:
    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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    Full-text PDF :114
    References:52
    First page:3
     
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