Center Manifold of the Viscous Moore--Greitzer PDE Model

DOI10.1137/S0036139999354261zbMath0979.37039OpenAlexW2054289749MaRDI QIDQ4507317

Tamer Başar, Mingqing Xiao

Publication date: 18 October 2000

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139999354261

zbMATH Keywords

stabilityHopf bifurcationcenter manifoldMoore-Greitzer PDE modelcompressor systems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (7)

Center manifold for the third-order nonlinear Schrödinger equation with critical lengths ⋮ Bifurcation based quadratic feedback control for Moore‐Greitzer model with surge and multiple stall modes ⋮ Hopf bifurcations of Moore-Greitzer PDE model with additive noise ⋮ Derivation of the viscous Moore-Greitzer equation for aeroengine flow ⋮ Control of Hopf bifurcations of nonlinear infinite-dimensional systems: application to axial flow engine compressor ⋮ Discussion on: ``Attenuation of oscillations in Galerkin systems using center-manifold techniques ⋮ Characterization of critical eigenvalues of axial flow engine compressor PDE model

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