Pattern Analysis in Networks of Delayed Coupled Nonlinear Systems

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

Samenvatting

In this paper, a method for pattern analysis in networks of nonlinear systems of Lur'e type interconnected via time-delayed coupling functions is presented. We consider a class of nonlinear systems which are globally asymptotically stable in isolation. Interconnecting such systems into a network via time-delayed coupling can result in persistent oscillatory behavior, which may lead to pattern formation in the delay-coupled systems. We focus on networks of Lur'e systems in which a Hopf bifurcation causes the instability of the network equilibrium. We develop a numerically efficient method in order to analyze the oscillatory behavior occurring in such networks. Our analysis is based on the harmonic balance method and tested on the network of delay coupled FitzHugh-Nagumo (FHN) model neurons.

Originele taal-2Engels
TitelEuropean Control Conference 2020, ECC 2020
UitgeverijInstitute of Electrical and Electronics Engineers
Pagina's1468-1473
Aantal pagina's6
ISBN van elektronische versie9783907144015
StatusGepubliceerd - mei 2020
Evenement18th European Control Conference, ECC 2020 - Saint Petersburg, Rusland
Duur: 12 mei 202015 mei 2020

Congres

Congres18th European Control Conference, ECC 2020
LandRusland
StadSaint Petersburg
Periode12/05/2015/05/20

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