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- Glad, Torkel, 1947-, et al.
(författare)
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On Diffusion Driven Oscillations in Coupled Dynamical Systems
- 1999
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Ingår i: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. - 0218-1274. ; 9:4, s. 629-644
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Tidskriftsartikel (refereegranskat)abstract
- The paper deals with the problem of destabilization of diffusively coupled identical systems. It is shown that globally asymptotically stable systems being diffusively coupled, may exhibit 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 Poincare-Andronov-Hopf bifurcation resulting in oscillatory behavior.
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- Pogromsky, Alexander, et al.
(författare)
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On Diffusion Driven Oscillations in Coupled Dynamical Systems
- 1998
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Rapport (övrigt vetenskapligt/konstnärligt)abstract
- The paper deals with the problem of destabilization of diffusively coupled identical systems. It is shown that globally asymptotically stable systems being diffusively coupled, may exhibit 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 Poincare-Andronov-Hopf bifurcation resulting in oscillatory behavior.
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