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Synchronization of nonlinearly coupled networks based on circle criterion. / Plotnikov, Sergei A.; Fradkov, Alexander L.

в: Chaos, Том 31, № 10, 103110, 05.10.2021.

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

Harvard

Plotnikov, SA & Fradkov, AL 2021, 'Synchronization of nonlinearly coupled networks based on circle criterion', Chaos, Том. 31, № 10, 103110. https://doi.org/10.1063/5.0055814

APA

Plotnikov, S. A., & Fradkov, A. L. (2021). Synchronization of nonlinearly coupled networks based on circle criterion. Chaos, 31(10), [103110]. https://doi.org/10.1063/5.0055814

Vancouver

Plotnikov SA, Fradkov AL. Synchronization of nonlinearly coupled networks based on circle criterion. Chaos. 2021 Окт. 5;31(10). 103110. https://doi.org/10.1063/5.0055814

Author

Plotnikov, Sergei A. ; Fradkov, Alexander L. / Synchronization of nonlinearly coupled networks based on circle criterion. в: Chaos. 2021 ; Том 31, № 10.

BibTeX

@article{e323e63a42d14cdfb4336d51ad0783e5,
title = "Synchronization of nonlinearly coupled networks based on circle criterion",
abstract = "The problem of synchronization in networks of linear systems with nonlinear diffusive coupling and a connected undirected graph is studied. By means of a coordinate transformation, the system is reduced to the form of mean-field dynamics and a synchronization-error system. The network synchronization conditions are established based on the stability conditions of the synchronization-error system obtained using the circle criterion, and the results are used to derive the condition for synchronization in a network of neural-mass-model populations with a connected undirected graph. Simulation examples are presented to illustrate the obtained results.",
author = "Plotnikov, {Sergei A.} and Fradkov, {Alexander L.}",
note = "Publisher Copyright: {\textcopyright} 2021 Author(s).",
year = "2021",
month = oct,
day = "5",
doi = "10.1063/5.0055814",
language = "English",
volume = "31",
journal = "Chaos",
issn = "1054-1500",
publisher = "American Institute of Physics",
number = "10",

}

RIS

TY - JOUR

T1 - Synchronization of nonlinearly coupled networks based on circle criterion

AU - Plotnikov, Sergei A.

AU - Fradkov, Alexander L.

N1 - Publisher Copyright: © 2021 Author(s).

PY - 2021/10/5

Y1 - 2021/10/5

N2 - The problem of synchronization in networks of linear systems with nonlinear diffusive coupling and a connected undirected graph is studied. By means of a coordinate transformation, the system is reduced to the form of mean-field dynamics and a synchronization-error system. The network synchronization conditions are established based on the stability conditions of the synchronization-error system obtained using the circle criterion, and the results are used to derive the condition for synchronization in a network of neural-mass-model populations with a connected undirected graph. Simulation examples are presented to illustrate the obtained results.

AB - The problem of synchronization in networks of linear systems with nonlinear diffusive coupling and a connected undirected graph is studied. By means of a coordinate transformation, the system is reduced to the form of mean-field dynamics and a synchronization-error system. The network synchronization conditions are established based on the stability conditions of the synchronization-error system obtained using the circle criterion, and the results are used to derive the condition for synchronization in a network of neural-mass-model populations with a connected undirected graph. Simulation examples are presented to illustrate the obtained results.

UR - http://www.scopus.com/inward/record.url?scp=85116903925&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/957846c2-3989-382c-b54e-905e88a3439f/

U2 - 10.1063/5.0055814

DO - 10.1063/5.0055814

M3 - Article

AN - SCOPUS:85116903925

VL - 31

JO - Chaos

JF - Chaos

SN - 1054-1500

IS - 10

M1 - 103110

ER -

ID: 87547899