Pattern Analysis in Networks of Delayed Coupled Nonlinear Systems

被引：0
|
作者：
Rogov, K. [1 ,2 ]
Pogromsky, A. [1 ,3 ]
Steur, E. [1 ,4 ]
Michiels, W. [2 ]
Nijmeijer, H. [1 ]
机构：
[1] Eindhoven Univ Technol, Dept Mech Engn, Eindhoven, Netherlands
[2] Katholieke Univ Leuven, Dept Comp Sci, Leuven, Belgium
[3] St Petersburg Natl Res Univ Informat Technol Mech, Dept Control Syst & Robot, St Petersburg, Russia
[4] Eindhoven Univ Technol, Inst Complex Mol Syst ICMS, Eindhoven, Netherlands
来源：
2020 EUROPEAN CONTROL CONFERENCE (ECC 2020) | 2020年
关键词：
OSCILLATIONS;
D O I：
10.23919/ecc51009.2020.9143960
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：1468 / 1473
页数：6
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