On diffusion driven oscillations in coupled dynamical systems

Alexander Pogromsky; Torkel Glad; Henk Nijmeijer

doi:10.1142/S0218127499000444

On diffusion driven oscillations in coupled dynamical systems

Alexander Pogromsky, Torkel Glad, Henk Nijmeijer

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Abstract

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

Original language	English
Pages (from-to)	629-644
Number of pages	16
Journal	International journal of bifurcation and chaos in applied sciences and engineering
Volume	9
Issue number	4
DOIs	https://doi.org/10.1142/S0218127499000444
Publication status	Published - 1999

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title = "On diffusion driven oscillations in coupled dynamical systems",

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

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AU - Pogromsky, Alexander

AU - Glad, Torkel

AU - Nijmeijer, Henk

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Y1 - 1999

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

KW - n/a OA procedure

U2 - 10.1142/S0218127499000444

DO - 10.1142/S0218127499000444

M3 - Article

SN - 0218-1274

VL - 9

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EP - 644

JO - International journal of bifurcation and chaos in applied sciences and engineering

JF - International journal of bifurcation and chaos in applied sciences and engineering

IS - 4

ER -

On diffusion driven oscillations in coupled dynamical systems

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