Transient feedback and global instability in non-homogeneous systems

Transient feedback and global instability in non-homogeneous systems

Model examples of linear wave systems are considered to illustrate the origin of feedback instability in situations involving strong transients. Two mechanisms of transient growth are addressed. The first is a spatial amplification of resonant waves propagating in the same direction. The second form...

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Veröffentlicht in:Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 2005-05, Vol.363 (1830), p.1235-1245
Hauptverfasser: Timoshin, S.N, Linkins, J.M
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Constant coefficients
Control loops
Eigenvalues
Feedback
Fluid flow
Global Instability
Mathematical independent variables
Reflectance
Transient Growth
Wave dispersion
Wave propagation
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Beschreibung
Zusammenfassung:Model examples of linear wave systems are considered to illustrate the origin of feedback instability in situations involving strong transients. Two mechanisms of transient growth are addressed. The first is a spatial amplification of resonant waves propagating in the same direction. The second form of transient growth is purely temporal. It is found that under certain conditions, both forms of transients can trigger global instability in a non-homogeneous system.
ISSN:1364-503X
1471-2962
DOI:10.1098/rsta.2005.1563