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Systems of Neutral Type Equations and a Model of Hopfield Neural Network. / Skvortsova, M. A.

в: Siberian Advances in Mathematics, Том 35, № 4, 22.12.2025, стр. 324-342.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Skvortsova, MA 2025, 'Systems of Neutral Type Equations and a Model of Hopfield Neural Network', Siberian Advances in Mathematics, Том. 35, № 4, стр. 324-342. <https://link.springer.com/article/10.1134/S1055134425040042#citeas>

APA

Skvortsova, M. A. (2025). Systems of Neutral Type Equations and a Model of Hopfield Neural Network. Siberian Advances in Mathematics, 35(4), 324-342. https://link.springer.com/article/10.1134/S1055134425040042#citeas

Vancouver

Skvortsova MA. Systems of Neutral Type Equations and a Model of Hopfield Neural Network. Siberian Advances in Mathematics. 2025 дек. 22;35(4):324-342.

Author

Skvortsova, M. A. / Systems of Neutral Type Equations and a Model of Hopfield Neural Network. в: Siberian Advances in Mathematics. 2025 ; Том 35, № 4. стр. 324-342.

BibTeX

@article{373822192a3a4f2c95762ffa86201f1a,
title = "Systems of Neutral Type Equations and a Model of Hopfield Neural Network",
abstract = "In the present article, we consider a model of Hopfield neural network described by a system of neutral type differential equations with several delays. We use the method of Lyapunov–Krasovskiĭ functionals and find conditions on parameters of this model that guarantee exponential stability of the stationary solution to the system. Under these conditions, we obtain estimates characterizing stabilization rate of solutions at the infinity.",
keywords = "neutral type differential equations, model of Hopfield neural network, Lyapunov–Krasovskii functional, estimates of solutions, exponential stability",
author = "Skvortsova, {M. A.}",
note = "Skvortsova, M.A. Systems of Neutral Type Equations and a Model of Hopfield Neural Network. Sib. Adv. Math. 35, 324–342 (2025). https://doi.org/10.1134/S1055134425040042 The work was supported by the Russian Science Foundation (project no. 24-21-00367).",
year = "2025",
month = dec,
day = "22",
language = "English",
volume = "35",
pages = "324--342",
journal = "Siberian Advances in Mathematics",
issn = "1055-1344",
publisher = "Pleiades Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - Systems of Neutral Type Equations and a Model of Hopfield Neural Network

AU - Skvortsova, M. A.

N1 - Skvortsova, M.A. Systems of Neutral Type Equations and a Model of Hopfield Neural Network. Sib. Adv. Math. 35, 324–342 (2025). https://doi.org/10.1134/S1055134425040042 The work was supported by the Russian Science Foundation (project no. 24-21-00367).

PY - 2025/12/22

Y1 - 2025/12/22

N2 - In the present article, we consider a model of Hopfield neural network described by a system of neutral type differential equations with several delays. We use the method of Lyapunov–Krasovskiĭ functionals and find conditions on parameters of this model that guarantee exponential stability of the stationary solution to the system. Under these conditions, we obtain estimates characterizing stabilization rate of solutions at the infinity.

AB - In the present article, we consider a model of Hopfield neural network described by a system of neutral type differential equations with several delays. We use the method of Lyapunov–Krasovskiĭ functionals and find conditions on parameters of this model that guarantee exponential stability of the stationary solution to the system. Under these conditions, we obtain estimates characterizing stabilization rate of solutions at the infinity.

KW - neutral type differential equations

KW - model of Hopfield neural network

KW - Lyapunov–Krasovskii functional

KW - estimates of solutions

KW - exponential stability

UR - https://www.scopus.com/pages/publications/105025406448

M3 - Article

VL - 35

SP - 324

EP - 342

JO - Siberian Advances in Mathematics

JF - Siberian Advances in Mathematics

SN - 1055-1344

IS - 4

ER -

ID: 73778031