15 citations · 22 across the 5 of their papers we have counts for
5 papers
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…
A cycle with a "short" period in the phenomenological model of a single neuron
Margarita M. Preobrazhenskaia, Igor E. Preobrazhenskii
We consider the relay version of the generalized Hutchinson's equation as a phenomenological model of an isolated neuron. After an exponential substitution, the equation takes the…
Existence of Discrete Traveling Waves in Fully Coupled Network of Mackey-Glass Relay Generators
V. V. Alekseev, M. M. Preobrazhenskaia, V. K. Zelenova
A fully coupled network of Mackey-Glass generators is considered. Each generator is described by a limit equation for the Mackey-Glass equation. The right parts are represented by…
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…
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…