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Sibirskii Zhurnal Industrial'noi Matematiki, 2015, Volume 18, Number 4, Pages 42–48
DOI: https://doi.org/10.17377/sibjim.2015.18.405 (Mi sjim902) 		 
This article is cited in 16 scientific papers (total in 16 papers)

On some properties of the domain graphs of dynamical systems

M. V. Kazantsev

Polzunov Altai State Technical University, 46 Lenin av., 656038 Barnaul
Full-text PDF (229 kB) Citations (16)
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DOI: https://doi.org/10.17377/sibjim.2015.18.405
Abstract: We continue examining the properties of the domain graphs defining the discrete structure in the phase portraits of the dynamical systems modelling gene networks. Some necessary and sufficient conditions are described for the existence of cycles on different potential levels of the domain graph. Also the conditions are found for these graphs to beisomorphic for different dynamical systems.
Keywords: gene network, graph, dynamical system, potential level, phase portrait.
Received: 08.04.2015
Bibliographic databases:
Document Type: Article
UDC: 514.745.82
Language: Russian
Citation: M. V. Kazantsev, “On some properties of the domain graphs of dynamical systems”, Sib. Zh. Ind. Mat., 18:4 (2015), 42–48
Citation in format AMSBIB
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\by M.~V.~Kazantsev
\paper On some properties of the domain graphs of dynamical systems
\jour Sib. Zh. Ind. Mat.
\yr 2015
\vol 18
\issue 4
\pages 42--48
\mathnet{http://mi.mathnet.ru/sjim902}
\crossref{https://doi.org/10.17377/sibjim.2015.18.405}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3549848}
\elib{https://elibrary.ru/item.asp?id=24119699}
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    • This publication is cited in the following 16 articles:
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