Double singularity-induced bifurcation points and singular Hopf bifurcations

DOI10.1080/713603759zbMath0982.34035OpenAlexW2060785499MaRDI QIDQ4529164

Robert E. Beardmore

Publication date: 22 March 2002

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/713603759

zbMATH Keywords

singular perturbationsHopf bifurcationsdifferential-algebraic equationsintegral manifoldselectrical power systems

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Invariant manifolds for ordinary differential equations (34C45)

Related Items (5)

Qualitative features of matrix pencils and DAEs arising in circuit dynamics ⋮ Stability of singular Hopf bifurcations ⋮ Singular bifurcations in higher index differential-algebraic equations ⋮ Mixed-mode oscillations and chaotic solutions of \textit{jerk} (Newtonian) equations ⋮ Time-domain properties of reactive dual circuits

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• Chaotic motions in the two-degree-of-freedom swing equations
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