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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 122, Pages 131–135
DOI: https://doi.org/10.20310/1810-0198-2018-23-122-131-135 (Mi vtamu62) 		 
Scientific articles

Existence and stability of bumps in a neural field model

K. Kolodinaa, A. Oleynikb, J. Wyllera

a Norwegian University of Life Sciences
b University of Bergen
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DOI: https://doi.org/10.20310/1810-0198-2018-23-122-131-135
Abstract: We investigate existence and stability of bumps (localized stationary solutions) in a homogenized 2-population neural field model, when the firing rate functions are given by the unit step function.
Keywords: homogenization theory, existence and stability of stationary solutions of nonlocal neural field models.
Funding agency Grant number
Research Council of Norway 239070
The work is partially supported by the Norwegian University of Life Sciences and The Research Council of Norway (project № 239070).
Received: 23.03.2018
Bibliographic databases:
Document Type: Article
UDC: 51-76
Language: English
Citation: K. Kolodina, A. Oleynik, J. Wyller, “Existence and stability of bumps in a neural field model”, Tambov University Reports. Series: Natural and Technical Sciences, 23:122 (2018), 131–135
Citation in format AMSBIB
\Bibitem{KolOleWyl18}
\by K.~Kolodina, A.~Oleynik, J.~Wyller
\paper Existence and stability of bumps in a neural field model
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 122
\pages 131--135
\mathnet{http://mi.mathnet.ru/vtamu62}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-122-131-135}
\elib{https://elibrary.ru/item.asp?id=35213519}
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