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This article is cited in 5 scientific papers (total in 5 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 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.  Full text:
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UDC: 514.745.82 Received: 03.02.2012 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), 
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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