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nlin.SI2024
Asymptotic Approximation of Fading Mode in Neurooscillator Dynamics
Margarita Preobrazhenskaia, Vera Zelenova
We consider a system consisting of two delay differential equations with a large parameter, modeling the association of a pair of neurooscillators. The unknown functions describe t…
nlin.SI2021★ 7 cited
Tetrahedron maps, Yang-Baxter maps, and partial linearisations
S. Igonin, V. Kolesov, S. Konstantinou-Rizos +1
We study tetrahedron maps, which are set-theoretical solutions to the Zamolodchikov tetrahedron equation, and Yang-Baxter maps, which are set-theoretical solutions to the quantum Y…
nlin.SI2020
Yang--Baxter maps, Darboux transformations, and linear approximations of refactorisation problems
V. M. Buchstaber, S. Igonin, S. Konstantinou-Rizos +1
Yang--Baxter maps (YB maps) are set-theoretical solutions to the quantum Yang--Baxter equation. For a set , where is a vector space and is regarded as a space…