On oscillations in coupled dynamical systems

A.Y. Pogromsky; H. Nijmeijer

On oscillations in coupled dynamical systems

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

Abstract

The paper deals with the problem of destabilization of diffusively coupled identical systems. It is shown that the globally asymptotically stable systems being diffusively coupled may exhibit an oscillatory behavior. It is shown that if the diffusive medium consists of hyperbolically nonminimum phase systems and the diffusive factors exceed some threshold value the origin of the overall system undergoes a Poincaré-Andronov-Hopf bifurcation resulting in oscillatory behavior.

Original language	English
Title of host publication	Proceedings of the 14th IFAC triennial world congress, 5-9 July 1999, Beijing, P.R. China
Editors	Han-Fu Chen, B. Wahlberg
Place of Publication	Oxford
Publisher	Pergamon
Pages	467-472
Number of pages	6
ISBN (Print)	0-08-043219-0
Publication status	Published - 1999

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title = "On oscillations in coupled dynamical systems",

abstract = "The paper deals with the problem of destabilization of diffusively coupled identical systems. It is shown that the globally asymptotically stable systems being diffusively coupled may exhibit an oscillatory behavior. It is shown that if the diffusive medium consists of hyperbolically nonminimum phase systems and the diffusive factors exceed some threshold value the origin of the overall system undergoes a Poincar{\'e}-Andronov-Hopf bifurcation resulting in oscillatory behavior.",

author = "A.Y. Pogromsky and H. Nijmeijer",

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T1 - On oscillations in coupled dynamical systems

AU - Pogromsky, A.Y.

AU - Nijmeijer, H.

PY - 1999

Y1 - 1999

N2 - The paper deals with the problem of destabilization of diffusively coupled identical systems. It is shown that the globally asymptotically stable systems being diffusively coupled may exhibit an oscillatory behavior. It is shown that if the diffusive medium consists of hyperbolically nonminimum phase systems and the diffusive factors exceed some threshold value the origin of the overall system undergoes a Poincaré-Andronov-Hopf bifurcation resulting in oscillatory behavior.

AB - The paper deals with the problem of destabilization of diffusively coupled identical systems. It is shown that the globally asymptotically stable systems being diffusively coupled may exhibit an oscillatory behavior. It is shown that if the diffusive medium consists of hyperbolically nonminimum phase systems and the diffusive factors exceed some threshold value the origin of the overall system undergoes a Poincaré-Andronov-Hopf bifurcation resulting in oscillatory behavior.

M3 - Chapter

SN - 0-08-043219-0

SP - 467

EP - 472

BT - Proceedings of the 14th IFAC triennial world congress, 5-9 July 1999, Beijing, P.R. China

A2 - Chen, Han-Fu

A2 - Wahlberg, B.

PB - Pergamon

CY - Oxford

ER -