DocumentCode
2157758
Title
Bifurcations of MHD DAEs at singularities
Author
Marszalek, Wieslaw ; Trzaska, Zdzislaw W.
Author_Institution
DeVry Univ., North Brunswick, NJ, USA
fYear
2007
fDate
2-5 July 2007
Firstpage
3080
Lastpage
3087
Abstract
We analyze the traveling wave differential-algebraic equations (DAEs) in magnetohydrodynamics (MHD) and their behavior at singularities. The parameter dependent MHD DAEs may, under certain conditions, undergo the singularity induced bifurcation (SIB) when one eigenvalue of the linear model diverges through infinity. This local phenomenon may in turn signal Hopf bifurcation in the respective singularly perturbed traveling wave MHD ODEs. The qualitative analysis is based on matrix pencils and parameter dependent polynomials. Several numerical examples are given.
Keywords
bifurcation; differential algebraic equations; eigenvalues and eigenfunctions; magnetohydrodynamics; matrix algebra; polynomials; Hopf bifurcation; MHD DAE; MHD ODE; eigenvalue; linear model; magnetohydrodynamics; matrix pencils; parameter-dependent polynomials; singularity-induced bifurcation; traveling wave differential-algebraic equations; Bifurcation; Eigenvalues and eigenfunctions; Indexes; Magnetohydrodynamics; Polynomials; Vectors; Differential-algebraic equations; bifurcations; magnetohydrodynamics; matrix pencils;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 2007 European
Conference_Location
Kos
Print_ISBN
978-3-9524173-8-6
Type
conf
Filename
7068433
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