Unfolding of double-zero eigenvalue bifurcations for supersonic flowpast a pitching wedge

N. Sri Namachchivaya; H. J.Van Roessel

doi:10.2514/3.20555

Unfolding of double-zero eigenvalue bifurcations for supersonic flowpast a pitching wedge

N. Sri Namachchivaya, H. J.Van Roessel

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper a complete unfolding of a codimension two bifurcation due to a double-zero eigenvalue of the equations of pitching motion of a double-wedge airfoil is carried out. The critical parameter values along with various parameters related to stiffness derivatives and damping derivatives are tabulated for a thin airfoil for a range of Mach numbers. Both local and global bifurcations of the trivial and nontrivial fixed points and uniqueness of limit cycles are determined.

Original language	English (US)
Pages (from-to)	343-347
Number of pages	5
Journal	Journal of Guidance, Control, and Dynamics
Volume	13
Issue number	2
DOIs	https://doi.org/10.2514/3.20555
State	Published - Mar 1990
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering
Aerospace Engineering
Space and Planetary Science
Electrical and Electronic Engineering
Applied Mathematics

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10.2514/3.20555

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abstract = "In this paper a complete unfolding of a codimension two bifurcation due to a double-zero eigenvalue of the equations of pitching motion of a double-wedge airfoil is carried out. The critical parameter values along with various parameters related to stiffness derivatives and damping derivatives are tabulated for a thin airfoil for a range of Mach numbers. Both local and global bifurcations of the trivial and nontrivial fixed points and uniqueness of limit cycles are determined.",

author = "Namachchivaya, {N. Sri} and Roessel, {H. J.Van}",

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AU - Roessel, H. J.Van

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N2 - In this paper a complete unfolding of a codimension two bifurcation due to a double-zero eigenvalue of the equations of pitching motion of a double-wedge airfoil is carried out. The critical parameter values along with various parameters related to stiffness derivatives and damping derivatives are tabulated for a thin airfoil for a range of Mach numbers. Both local and global bifurcations of the trivial and nontrivial fixed points and uniqueness of limit cycles are determined.

AB - In this paper a complete unfolding of a codimension two bifurcation due to a double-zero eigenvalue of the equations of pitching motion of a double-wedge airfoil is carried out. The critical parameter values along with various parameters related to stiffness derivatives and damping derivatives are tabulated for a thin airfoil for a range of Mach numbers. Both local and global bifurcations of the trivial and nontrivial fixed points and uniqueness of limit cycles are determined.

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Unfolding of double-zero eigenvalue bifurcations for supersonic flowpast a pitching wedge

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