Synchronization of nonlinearly coupled networks based on circle criterion

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

In: Chaos, Vol. 31, No. 10, 103110, 05.10.2021.

Research output: Contribution to journal › Article › peer-review

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.

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