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Nanosystems: Physics, Chemistry, Mathematics, 2019, Volume 10, Issue 6, Pages 623–626
DOI: https://doi.org/10.17586/2220-8054-2019-10-6-623-626 (Mi nano476) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Metric graph version of the FitzHugh–Nagumo model

E. G. Fedorov, A. I. Popov, I. Y. Popov

ITMO University, Kronverkskii, 49, St. Petersburg, 197101, Russia
Full-text PDF (231 kB) Citations (1)
DOI: https://doi.org/10.17586/2220-8054-2019-10-6-623-626
Abstract: The FitzHugh–Nagumo model on a metric graph is studied. System of delayed differential equations is used to model a pair of FitzHugh–Nagumo excitable systems with time-delayed fast threshold modulation coupling. The model can be used for description of signal transmission in different nanostructures, microsystems or neural networks. The effect of time delay on the impulse transmission is studied.
Keywords: FitzHugh–Nagumo system, time-delayed coupling, travelling wave, metric graph, neural network.
Funding agency Grant number
Russian Science Foundation 16-11-10330
Ministry of Education and Science of the Russian Federation 08-08
This work was partially financially supported by the Government of the Russian Federation (grant 08-08), grant 16-11-10330 of Russian Science Foundation.
Received: 27.07.2019
Revised: 30.11.2019
Bibliographic databases:
Document Type: Article
Language: English
Citation: E. G. Fedorov, A. I. Popov, I. Y. Popov, “Metric graph version of the FitzHugh–Nagumo model”, Nanosystems: Physics, Chemistry, Mathematics, 10:6 (2019), 623–626
Citation in format AMSBIB
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\by E.~G.~Fedorov, A.~I.~Popov, I.~Y.~Popov
\paper Metric graph version of the FitzHugh--Nagumo model
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2019
\vol 10
\issue 6
\pages 623--626
\mathnet{http://mi.mathnet.ru/nano476}
\crossref{https://doi.org/10.17586/2220-8054-2019-10-6-623-626}
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\elib{https://elibrary.ru/item.asp?id=41564730}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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