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Trudy Moskovskogo Matematicheskogo Obshchestva, 2020, Volume 81, Issue 1, Pages 41–85 (Mi mmo634)  
Relaxation autowaves in a bi-local neuron model

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

a Demidov Yaroslavl' State University
b Lomonosov Moscow State University
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Abstract: A so-called bi-local neuron model is considered, which is a system of two identical nonlinear delay equations linked by means of linear diffusion terms. It is shown that for an appropriate choice of parameters there exist two stable relaxation cycles in this system, which transform one into the other after interchanging the coordinate variables.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10055
Received: 24.04.2019
English version:
Transactions of the Moscow Mathematical Society, 2020, Volume 81, Issue 1, Pages 33–70
DOI: https://doi.org/10.1090/mosc/305
Bibliographic databases:
Document Type: Article
UDC: 517.926
MSC: 34C26, 34K20, 35Q92, 92C20
Language: Russian
Citation: S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Relaxation autowaves in a bi-local neuron model”, Tr. Mosk. Mat. Obs., 81, no. 1, MCCME, M., 2020, 41–85; Trans. Moscow Math. Soc., 81:1 (2020), 33–70
Citation in format AMSBIB
\Bibitem{GlyKolRoz20}
\by S.~D.~Glyzin, A.~Yu.~Kolesov, N.~Kh.~Rozov
\paper Relaxation autowaves in a bi-local neuron model
\serial Tr. Mosk. Mat. Obs.
\yr 2020
\vol 81
\issue 1
\pages 41--85
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo634}
\elib{https://elibrary.ru/item.asp?id=46770022}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2020
\vol 81
\issue 1
\pages 33--70
\crossref{https://doi.org/10.1090/mosc/305}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85103166218}
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