Pattern Analysis in Networks of Delayed Coupled Nonlinear Systems

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Abstract

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.

Original languageEnglish
Title of host publicationEuropean Control Conference 2020, ECC 2020
PublisherInstitute of Electrical and Electronics Engineers
Pages1468-1473
Number of pages6
ISBN (Electronic)9783907144015
Publication statusPublished - May 2020
Event18th European Control Conference, ECC 2020 - Saint Petersburg, Russian Federation
Duration: 12 May 202015 May 2020

Conference

Conference18th European Control Conference, ECC 2020
CountryRussian Federation
CitySaint Petersburg
Period12/05/2015/05/20

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