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Bifurcation and synchronization analysis of neural mass model subpopulations. / Gorshkov, Andrey A.; Plotnikov, Sergei A.; Fradkov, Alexander L.

In: IFAC-PapersOnLine, Vol. 50, No. 1, 2017, p. 14741-14745.

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

Harvard

Gorshkov, AA, Plotnikov, SA & Fradkov, AL 2017, 'Bifurcation and synchronization analysis of neural mass model subpopulations', IFAC-PapersOnLine, vol. 50, no. 1, pp. 14741-14745. https://doi.org/10.1016/j.ifacol.2017.08.2577

APA

Gorshkov, A. A., Plotnikov, S. A., & Fradkov, A. L. (2017). Bifurcation and synchronization analysis of neural mass model subpopulations. IFAC-PapersOnLine, 50(1), 14741-14745. https://doi.org/10.1016/j.ifacol.2017.08.2577

Vancouver

Gorshkov AA, Plotnikov SA, Fradkov AL. Bifurcation and synchronization analysis of neural mass model subpopulations. IFAC-PapersOnLine. 2017;50(1):14741-14745. https://doi.org/10.1016/j.ifacol.2017.08.2577

Author

Gorshkov, Andrey A. ; Plotnikov, Sergei A. ; Fradkov, Alexander L. / Bifurcation and synchronization analysis of neural mass model subpopulations. In: IFAC-PapersOnLine. 2017 ; Vol. 50, No. 1. pp. 14741-14745.

BibTeX

@article{0d5d5cdf1c744612aa9939ebaef09f90,
title = "Bifurcation and synchronization analysis of neural mass model subpopulations",
abstract = "This paper studies possible bifurcations and synchronization of subpopulations of a class of macroscopic models called neural mass models. These models describe the mean activity of entire neural populations, represented by their averaged firing rates and membrane potentials. Connections between the nodes represent the static nonlinear sigmoidal function. We study local bifurcations and make a global stability analysis for one subpopulation of the neural mass model. Also we consider the behavior of two coupled subpopulations and find the sufficient conditions of their synchronization. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.",
keywords = "Neural dynamics, Nonlinear systems, Pitchfork bifurcation, Synchronization, Lyapunov function, DYNAMICS, NETWORKS, RESPONSES, SYSTEMS, DISEASE, BRAIN, EEG",
author = "Gorshkov, {Andrey A.} and Plotnikov, {Sergei A.} and Fradkov, {Alexander L.}",
year = "2017",
doi = "10.1016/j.ifacol.2017.08.2577",
language = "Английский",
volume = "50",
pages = "14741--14745",
journal = "IFAC-PapersOnLine",
issn = "2405-8963",
publisher = "Elsevier",
number = "1",
note = "null ; Conference date: 09-07-2017 Through 14-07-2017",

}

RIS

TY - JOUR

T1 - Bifurcation and synchronization analysis of neural mass model subpopulations

AU - Gorshkov, Andrey A.

AU - Plotnikov, Sergei A.

AU - Fradkov, Alexander L.

PY - 2017

Y1 - 2017

N2 - This paper studies possible bifurcations and synchronization of subpopulations of a class of macroscopic models called neural mass models. These models describe the mean activity of entire neural populations, represented by their averaged firing rates and membrane potentials. Connections between the nodes represent the static nonlinear sigmoidal function. We study local bifurcations and make a global stability analysis for one subpopulation of the neural mass model. Also we consider the behavior of two coupled subpopulations and find the sufficient conditions of their synchronization. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

AB - This paper studies possible bifurcations and synchronization of subpopulations of a class of macroscopic models called neural mass models. These models describe the mean activity of entire neural populations, represented by their averaged firing rates and membrane potentials. Connections between the nodes represent the static nonlinear sigmoidal function. We study local bifurcations and make a global stability analysis for one subpopulation of the neural mass model. Also we consider the behavior of two coupled subpopulations and find the sufficient conditions of their synchronization. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

KW - Neural dynamics

KW - Nonlinear systems

KW - Pitchfork bifurcation

KW - Synchronization

KW - Lyapunov function

KW - DYNAMICS

KW - NETWORKS

KW - RESPONSES

KW - SYSTEMS

KW - DISEASE

KW - BRAIN

KW - EEG

UR - http://www.scopus.com/inward/record.url?scp=85044316773&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2017.08.2577

DO - 10.1016/j.ifacol.2017.08.2577

M3 - статья

AN - SCOPUS:85044316773

VL - 50

SP - 14741

EP - 14745

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8963

IS - 1

Y2 - 9 July 2017 through 14 July 2017

ER -

ID: 37787133