The Hopf bifurcation theorem for quasilinear differential-algebraic equations.

DOI10.1016/S0045-7825(98)00203-5zbMath1063.34500MaRDI QIDQ1965152

Patrick J. Rabier

Publication date: 1999

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Implicit ordinary differential equations, differential-algebraic equations (34A09) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Time series analysis of dynamical systems (37M10)

Related Items (4)

Singular bifurcations in higher index differential-algebraic equations ⋮ Generalization to differential-algebraic equations of Lyapunov-Schmidt type reduction at Hopf bifurcations ⋮ BIFURCATION ANALYSIS OF DIFFERENTIAL-DIFFERENCE-ALGEBRAIC EQUATIONS ⋮ A Hopf bifurcation theorem for singular differential-algebraic equations

Uses Software

• AUTO
• AUTO-86
• ALCON

Cites Work

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