A Hopf bifurcation theorem for singular differential-algebraic equations

DOI10.1016/j.matcom.2008.03.009zbMath1280.65082DBLPjournals/mcs/BeardmoreW08OpenAlexW1994374645WikidataQ57938683 ScholiaQ57938683MaRDI QIDQ1010061

J. Martínez

Publication date: 3 April 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2008.03.009

zbMATH Keywords

Hopf bifurcationsingularitydifferential-algebraic equations

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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (1)

Generalization to differential-algebraic equations of Lyapunov-Schmidt type reduction at Hopf bifurcations

Cites Work

• Unnamed Item
• Applications of centre manifold theory
• On impasse points of quasilinear differential-algebraic equations
• The Hopf bifurcation theorem for quasilinear differential-algebraic equations.
• The Singularity-Induced Bifurcation and its Kronecker Normal Form
• Normal Forms, Quasi-invariant Manifolds, and Bifurcations of Nonlinear Difference-Algebraic Equations
• Singular Hopf Bifurcation to Relaxation Oscillations. II
• Hopf Bifurcation for Implicit Neutral Functional Differential Equations
• A Local Hopf Bifurcation Theorem for a Certain Class of Implicit Differential Equations
• Trajectories of a DAE near a pseudo-equilibrium
• Singular Hopf Bifurcation to Relaxation Oscillations

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