Abstract
| 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 |
| State | Published - 1999 |
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On oscillations in coupled dynamical systems. / Pogromsky, A.Y.; Nijmeijer, H.
Proceedings of the 14th IFAC triennial world congress, 5-9 July 1999, Beijing, P.R. China. ed. / Han-Fu Chen; B. Wahlberg. Oxford : Pergamon, 1999. p. 467-472 Paper E-2c-19-4.Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review
TY - CHAP
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
PB - Pergamon
CY - Oxford
ER -