On oscillations in coupled dynamical systems

Alexander Yu. Pogromsky; Torkel Glad; Henk Nijmeijer

doi:10.1016/S1474-6670(17)56441-1

On oscillations in coupled dynamical systems

Alexander Yu. Pogromsky, Torkel Glad, Henk Nijmeijer

Research output: Contribution to journal › Conference article › Academic › peer-review

82 Citations (Scopus)

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-Hopfbifurcation resulting in oscillatory behavior.

Original language	English
Pages (from-to)	2592-2597
Journal	IFAC proceedings volumes
Volume	32
Issue number	2
DOIs	https://doi.org/10.1016/S1474-6670(17)56441-1
Publication status	Published - 1999

Keywords

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Access to Document

10.1016/S1474-6670(17)56441-1

Cite this

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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-Hopfbifurcation resulting in oscillatory behavior.",

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AU - Glad, Torkel

AU - Nijmeijer, Henk

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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-Hopfbifurcation 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-Hopfbifurcation resulting in oscillatory behavior.

KW - n/a OA procedure

U2 - 10.1016/S1474-6670(17)56441-1

DO - 10.1016/S1474-6670(17)56441-1

M3 - Conference article

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VL - 32

SP - 2592

EP - 2597

JO - IFAC proceedings volumes

JF - IFAC proceedings volumes

IS - 2

ER -