Bifurcation analysis of axial flow compressor stability. (English) Zbl 0716.58022

McCaughan, F. E.

SIAM J. Appl. Math. 50, No. 5, 1232-1253 (1990).

Summary: With a one-mode truncation it is possible to reduce the Moore-Greitzer model for compressor instability to a set of three ordinary differential equations. These are approached from the point of view of bifurcation theory. Most of the bifurcations emerge for a degenerate Takens-Bogdanov bifurcation point. The bifurcation sets are completed using the numerical branch tracking scheme AUTO. Despite the severity of the truncation, the agreement with experimental results is excellent.

MSC:

37G99	Local and nonlocal bifurcation theory for dynamical systems
35B32	Bifurcations in context of PDEs
35B10	Periodic solutions to PDEs

Keywords:

stationary solution; periodic solutions; stability of periodic orbits; Hopf bifurcation; degeneracy; compressor instability; Takens-Bogdanov bifurcation point

Software:

AUTO