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JOURNALS // Russian Universities Reports. Mathematics // Archive

Tambov University Reports. Series: Natural and Technical Sciences, 2018 Volume 23, Issue 122, Pages 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

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.

UDC: 51-76

Received: 23.03.2018

Language: English

DOI: 10.20310/1810-0198-2018-23-122-131-135



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© Steklov Math. Inst. of RAS, 2024