Computation of the singularity induced bifurcation points in DAEs via extended system reduction

DOI10.1016/S0168-9274(02)00143-5zbMath1026.65065MaRDI QIDQ1861970

Kamal H. Yasir, Yun Tang

Publication date: 10 March 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

Newton-Raphson methoddifferential-algebraic equationsingularity induced bifurcationextended system reduction

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Bifurcation theory for ordinary differential equations (34C23) Numerical methods for differential-algebraic equations (65L80)

Related Items (2)

Analysis and behavior control of a modified singular prey-predator model ⋮ An efficient method to compute singularity induced bifurcations of decoupled parameter-dependent differential-algebraic power system model

Cites Work

• On impasse points of quasilinear differential-algebraic equations
• Impasse points. Part I: Numerical aspects
• An improved version of the singularity-induced bifurcation theorem
• Local bifurcations and feasibility regions in differential-algebraic systems

This page was built for publication: Computation of the singularity induced bifurcation points in DAEs via extended system reduction