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Nonlinear Dynamics of Axial Flow Compressors: A Parametric Study
This paper presents the analysis of the dynamics of a representative axial flow compressor model, emphasizing the influence of two important control parameters. These are a nondimensional parameter B (previously introduced ...
Bifurcation Control of Nonlinear Systems
Bifurcation control is discussed in the context of the stabilization of high angle-of-attach flight dynamics. Two classes of stabilization problems for which bifurcation control is useful are discussed. In the first class, ...
Families of Liapunov Functions for Nonlinear Systems in Critical Cases
Liapunov functions are constructed for nonlinear systems of ordinary differential equations whose linearized system at an equilibrium point possesses either a simple zero eigenvalue or a complex conjugate pair of simple, ...
Local Nonlinear Control of Stall Inception in Axial Flow Compressors
A combination of theoretical and computational nonlinear analysis techniques are used to study the scenario of bifurcations responsible for the initiation of rotating stall in an axial flow compressor model. It is found ...