Stability Loss in Quasilinear DAEs by Divergence of a Pencil Eigenvalue

DOI10.1137/08072557XzbMath1217.34012OpenAlexW2082539488MaRDI QIDQ3066240

Ricardo Riaza

Publication date: 10 January 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/08072557x

zbMATH Keywords

singularitydifferential-algebraic equationmatrix pencilelectrical circuitKronecker indexgeometric indexsingularity induced bifurcationstability change

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Analytic circuit theory (94C05) Matrix pencils (15A22)

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Fold points and singularity induced bifurcation in inviscid transonic flow ⋮ Linearly implicit Liénard systems ⋮ A flow-on-manifold formulation of differential-algebraic equations ⋮ Transcritical Bifurcation without Parameters in Memristive Circuits ⋮ \(QR\) methods and error analysis for computing Lyapunov and Sacker--Sell spectral intervals for linear differential-algebraic equations ⋮ EXPLICIT ODE REDUCTION OF MEMRISTIVE SYSTEMS ⋮ GRAPH-THEORETIC CHARACTERIZATION OF BIFURCATION PHENOMENA IN ELECTRICAL CIRCUIT DYNAMICS ⋮ Lagrange stability and instability of irregular semilinear differential-algebraic equations and applications

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