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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 187, Number 3, Pages 560–579
DOI: https://doi.org/10.4213/tmf9052 (Mi tmf9052) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Buffering in cyclic gene networks

S. D. Glyzina, A. Yu. Kolesova, N. Kh. Rozovb

a Demidov Yaroslavl State University, Yaroslavl, Russia
b Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (548 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf9052
Abstract: We consider cyclic chains of unidirectionally coupled delay differential–difference equations that are mathematical models of artificial oscillating gene networks. We establish that the buffering phenomenon is realized in these system for an appropriate choice of the parameters{:} any given finite number of stable periodic motions of a special type, the so-called traveling waves, coexist.
Keywords: cyclic chain of unidirectionally coupled equations, artificial gene network, traveling wave, asymptotic behavior, stability, buffering.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-04066_а
Ministry of Education and Science of the Russian Federation 2014/258
This research was supported by the Russian Foundation for Basic Research (Grant No. 15-01-04066_a) and the Russian State Research Task No. 2014/258 (Project No. 1875).
Received: 04.10.2015
English version:
Theoretical and Mathematical Physics, 2016, Volume 187, Issue 3, Pages 935–951
DOI: https://doi.org/10.1134/S0040577916060106
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Buffering in cyclic gene networks”, TMF, 187:3 (2016), 560–579; Theoret. and Math. Phys., 187:3 (2016), 935–951
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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