Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons

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Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons. / Jüttner, Benjamin; Henriksen, Christian; Martens, Erik A.

In: Chaos, Vol. 31, No. 2, 023141, 2021.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Jüttner, B, Henriksen, C & Martens, EA 2021, 'Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons', Chaos, vol. 31, no. 2, 023141. https://doi.org/10.1063/5.0031630

APA

Jüttner, B., Henriksen, C., & Martens, E. A. (2021). Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons. Chaos, 31(2), [023141]. https://doi.org/10.1063/5.0031630

Vancouver

Jüttner B, Henriksen C, Martens EA. Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons. Chaos. 2021;31(2). 023141. https://doi.org/10.1063/5.0031630

Author

Jüttner, Benjamin ; Henriksen, Christian ; Martens, Erik A. / Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons. In: Chaos. 2021 ; Vol. 31, No. 2.

Bibtex

@article{eff0bc15d8304f3cbd2ae378076f9df5,
title = "Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons",
abstract = "We study the macroscopic dynamics of large networks of excitable type 1 neurons composed of two populations interacting with disparate but symmetric intra- and inter-population coupling strengths. This nonuniform coupling scheme facilitates symmetric equilibria, where both populations display identical firing activity, characterized by either quiescent or spiking behavior, or asymmetric equilibria, where the firing activity of one population exhibits quiescent but the other exhibits spiking behavior. Oscillations in the firing rate are possible if neurons emit pulses with non-zero width but are otherwise quenched. Here, we explore how collective oscillations emerge for two statistically identical neuron populations in the limit of an infinite number of neurons. A detailed analysis reveals how collective oscillations are born and destroyed in various bifurcation scenarios and how they are organized around higher codimension bifurcation points. Since both symmetric and asymmetric equilibria display bistable behavior, a large configuration space with steady and oscillatory behavior is available. Switching between configurations of neural activity is relevant in functional processes such as working memory and the onset of collective oscillations in motor control.",
author = "Benjamin J{\"u}ttner and Christian Henriksen and Martens, {Erik A.}",
year = "2021",
doi = "10.1063/5.0031630",
language = "English",
volume = "31",
journal = "Chaos",
issn = "1054-1500",
publisher = "American Institute of Physics",
number = "2",

}

RIS

TY - JOUR

T1 - Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons

AU - Jüttner, Benjamin

AU - Henriksen, Christian

AU - Martens, Erik A.

PY - 2021

Y1 - 2021

N2 - We study the macroscopic dynamics of large networks of excitable type 1 neurons composed of two populations interacting with disparate but symmetric intra- and inter-population coupling strengths. This nonuniform coupling scheme facilitates symmetric equilibria, where both populations display identical firing activity, characterized by either quiescent or spiking behavior, or asymmetric equilibria, where the firing activity of one population exhibits quiescent but the other exhibits spiking behavior. Oscillations in the firing rate are possible if neurons emit pulses with non-zero width but are otherwise quenched. Here, we explore how collective oscillations emerge for two statistically identical neuron populations in the limit of an infinite number of neurons. A detailed analysis reveals how collective oscillations are born and destroyed in various bifurcation scenarios and how they are organized around higher codimension bifurcation points. Since both symmetric and asymmetric equilibria display bistable behavior, a large configuration space with steady and oscillatory behavior is available. Switching between configurations of neural activity is relevant in functional processes such as working memory and the onset of collective oscillations in motor control.

AB - We study the macroscopic dynamics of large networks of excitable type 1 neurons composed of two populations interacting with disparate but symmetric intra- and inter-population coupling strengths. This nonuniform coupling scheme facilitates symmetric equilibria, where both populations display identical firing activity, characterized by either quiescent or spiking behavior, or asymmetric equilibria, where the firing activity of one population exhibits quiescent but the other exhibits spiking behavior. Oscillations in the firing rate are possible if neurons emit pulses with non-zero width but are otherwise quenched. Here, we explore how collective oscillations emerge for two statistically identical neuron populations in the limit of an infinite number of neurons. A detailed analysis reveals how collective oscillations are born and destroyed in various bifurcation scenarios and how they are organized around higher codimension bifurcation points. Since both symmetric and asymmetric equilibria display bistable behavior, a large configuration space with steady and oscillatory behavior is available. Switching between configurations of neural activity is relevant in functional processes such as working memory and the onset of collective oscillations in motor control.

U2 - 10.1063/5.0031630

DO - 10.1063/5.0031630

M3 - Journal article

C2 - 33653075

VL - 31

JO - Chaos

JF - Chaos

SN - 1054-1500

IS - 2

M1 - 023141

ER -

ID: 259010631