Bogdanov-Takens bifurcation points and Sil'nikov homoclinicity in a simple power-system model of voltage collapse

DOI10.1109/TCSI.2002.1001947zbMath1368.37086OpenAlexW2154229536MaRDI QIDQ5349515

Joshua P. Wilson, Chris J. Budd

Publication date: 25 August 2017

Published in: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tcsi.2002.1001947

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Analytic circuit theory (94C05) Dynamical systems in control (37N35) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

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