Synchronization of Locally Coupled Neural Oscillators

Valentin Dragoi; Ioan Grosu

doi:10.1023/A:1009618318908

Synchronization of Locally Coupled Neural Oscillators

Valentin Dragoi, Ioan Grosu

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

15 Scopus citations

Abstract

A new method of controlling Fitzhugh-Nagumo (F-N) neural oscillators, Fitzhugh [1], with local coupling is presented. It is proved that through the use of an additive closed-loop controlling action that entrains each neural oscillator to a 'goal' behavior, necessary and sufficient conditions for the occurrence of synchronization in networks of unidirectionally self-connected neural oscillators are obtained in terms of asymptotic stability. These conditions suggest that rapid global synchronization can be achieved using sufficiently strong local inhibitory connections.

Original language	English (US)
Pages (from-to)	199-210
Number of pages	12
Journal	Neural Processing Letters
Volume	7
Issue number	3
DOIs	https://doi.org/10.1023/A:1009618318908
State	Published - 1998

Keywords

Asymptotic stability
Fitzhugh-Nagumo model
Local connections
Neural networks
Oscillations
Synchronization

ASJC Scopus subject areas

Software
General Neuroscience
Computer Networks and Communications
Artificial Intelligence

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10.1023/A:1009618318908

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title = "Synchronization of Locally Coupled Neural Oscillators",

abstract = "A new method of controlling Fitzhugh-Nagumo (F-N) neural oscillators, Fitzhugh [1], with local coupling is presented. It is proved that through the use of an additive closed-loop controlling action that entrains each neural oscillator to a 'goal' behavior, necessary and sufficient conditions for the occurrence of synchronization in networks of unidirectionally self-connected neural oscillators are obtained in terms of asymptotic stability. These conditions suggest that rapid global synchronization can be achieved using sufficiently strong local inhibitory connections.",

keywords = "Asymptotic stability, Fitzhugh-Nagumo model, Local connections, Neural networks, Oscillations, Synchronization",

author = "Valentin Dragoi and Ioan Grosu",

note = "Funding Information: The authors thank J. Socolar, J. E. R. Staddon, and G. Lockhead for helpful comments and stimulating discussions. V. D. was partially supported by Duke University, Department of Psychology: Experimental, and by National Academy of Sciences, Sigma-Xi, The Scientific Research Society. I. G. acknowledges the financial support from Fulbright Foundation.",

year = "1998",

doi = "10.1023/A:1009618318908",

language = "English (US)",

volume = "7",

pages = "199--210",

journal = "Neural Processing Letters",

issn = "1370-4621",

publisher = "Springer Netherlands",

number = "3",

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TY - JOUR

T1 - Synchronization of Locally Coupled Neural Oscillators

AU - Dragoi, Valentin

AU - Grosu, Ioan

N1 - Funding Information: The authors thank J. Socolar, J. E. R. Staddon, and G. Lockhead for helpful comments and stimulating discussions. V. D. was partially supported by Duke University, Department of Psychology: Experimental, and by National Academy of Sciences, Sigma-Xi, The Scientific Research Society. I. G. acknowledges the financial support from Fulbright Foundation.

PY - 1998

Y1 - 1998

N2 - A new method of controlling Fitzhugh-Nagumo (F-N) neural oscillators, Fitzhugh [1], with local coupling is presented. It is proved that through the use of an additive closed-loop controlling action that entrains each neural oscillator to a 'goal' behavior, necessary and sufficient conditions for the occurrence of synchronization in networks of unidirectionally self-connected neural oscillators are obtained in terms of asymptotic stability. These conditions suggest that rapid global synchronization can be achieved using sufficiently strong local inhibitory connections.

AB - A new method of controlling Fitzhugh-Nagumo (F-N) neural oscillators, Fitzhugh [1], with local coupling is presented. It is proved that through the use of an additive closed-loop controlling action that entrains each neural oscillator to a 'goal' behavior, necessary and sufficient conditions for the occurrence of synchronization in networks of unidirectionally self-connected neural oscillators are obtained in terms of asymptotic stability. These conditions suggest that rapid global synchronization can be achieved using sufficiently strong local inhibitory connections.

KW - Asymptotic stability

KW - Fitzhugh-Nagumo model

KW - Local connections

KW - Neural networks

KW - Oscillations

KW - Synchronization

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DO - 10.1023/A:1009618318908

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JO - Neural Processing Letters

JF - Neural Processing Letters

IS - 3

ER -

Synchronization of Locally Coupled Neural Oscillators

Abstract

Keywords

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