Pattern Analysis in Networks of Delayed Coupled Nonlinear Systems

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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
Titel2020 European Control Conference (ECC)
UitgeverijInstitute of Electrical and Electronics Engineers
Aantal pagina's6
ISBN van elektronische versie978-3-90714-402-2
StatusGepubliceerd - 20 jul. 2020
EvenementEuropean Control Conference (ECC 2020) - Saint Petersburg, Rusland
Duur: 12 mei 202015 mei 2020


CongresEuropean Control Conference (ECC 2020)
Verkorte titelECC 2020
StadSaint Petersburg


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