Delayed Feedback Control in Stochastic Excitable Networks

Natalia Janson; Andrey Pototsky; Sandhya Patidar

doi:10.1142/9789814313155_0008

Delayed Feedback Control in Stochastic Excitable Networks

Natalia Janson, Andrey Pototsky, Sandhya Patidar

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed)

Abstract

A simplified model of a stochastic neural network is considered, being a system of a large number of identical excitable FitzHugh-Nagumo oscillators coupled via
the mean field. The possibility to control the global dynamics of this network is investigated. The control tool being probed is Pyrgas delayed feedback constructed
and applied through the mean field. It is shown that one can to destroy or diminish stochastic synchronization in a partially synchronized network by a weak delayed feedback under the appropriate choice of delay.

Original language	English
Title of host publication	From Physics to Control Through an Emergent View
Editors	Luigi Fortuna, Alexander Fradkov, Mattia Frasca
Publisher	World Scientific Publishing
Pages	51-56
Number of pages	6
Volume	15
ISBN (Electronic)	9789814464710
ISBN (Print)	9789814313148
DOIs	https://doi.org/10.1142/9789814313155_0008
Publication status	Published - 2010

Publication series

Name	World Scientific Series on Nonlinear Science: Series B
Publisher	World Scientific Publishing

Keywords

NETWORK
Neuron model
Stochastic
Delay
Control

Access to Document

10.1142/9789814313155_0008

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title = "Delayed Feedback Control in Stochastic Excitable Networks",

abstract = "A simplified model of a stochastic neural network is considered, being a system of a large number of identical excitable FitzHugh-Nagumo oscillators coupled viathe mean field. The possibility to control the global dynamics of this network is investigated. The control tool being probed is Pyrgas delayed feedback constructedand applied through the mean field. It is shown that one can to destroy or diminish stochastic synchronization in a partially synchronized network by a weak delayed feedback under the appropriate choice of delay.",

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Delayed Feedback Control in Stochastic Excitable Networks. / Janson, Natalia; Pototsky, Andrey; Patidar, Sandhya.

From Physics to Control Through an Emergent View. ed. / Luigi Fortuna; Alexander Fradkov; Mattia Frasca. Vol. 15 World Scientific Publishing, 2010. p. 51-56 (World Scientific Series on Nonlinear Science: Series B).

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed)

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AU - Pototsky, Andrey

AU - Patidar, Sandhya

PY - 2010

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N2 - A simplified model of a stochastic neural network is considered, being a system of a large number of identical excitable FitzHugh-Nagumo oscillators coupled viathe mean field. The possibility to control the global dynamics of this network is investigated. The control tool being probed is Pyrgas delayed feedback constructedand applied through the mean field. It is shown that one can to destroy or diminish stochastic synchronization in a partially synchronized network by a weak delayed feedback under the appropriate choice of delay.

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KW - NETWORK

KW - Neuron model

KW - Stochastic

KW - Delay

KW - Control

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DO - 10.1142/9789814313155_0008

M3 - Chapter (peer-reviewed)

SN - 9789814313148

VL - 15

T3 - World Scientific Series on Nonlinear Science: Series B

SP - 51

EP - 56

BT - From Physics to Control Through an Emergent View

A2 - Fortuna, Luigi

A2 - Fradkov, Alexander

A2 - Frasca, Mattia

PB - World Scientific Publishing

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