On the bifurcations of nonautonomous systems with compound critical points

DOI10.1016/0307-904X(95)00029-JzbMath0833.34052WikidataQ127872546 ScholiaQ127872546MaRDI QIDQ1900585

S. S. Wang, Koncay Huseyin

Publication date: 31 October 1995

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

bifurcationMAPLEperturbation techniqueharmonic balancingquasiperiodic motionssecondary bifurcationsmultiple time scalingnonlinear nonautonomous cricuit

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Analytic circuit theory (94C05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Uses Software

• Maple

Cites Work

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• On bifurcation into nonresonant quasi-periodic motions
• On the analysis of Hopf bifurcations
• A perturbation method for the analysis of vibrations and bifurcations associated with non-autonomous systems. I: Non-resonance case
• A perturbation method for the analysis of vibrations and bifurcations associated with non-autonomous systems. II: Resonance case
• An intrinsic multiple-scale harmonic balance method for nonlinear vibration and bifurcation problems
• An intrinsic method of harmonic analysis for non-linear oscillations (a perturbation technique)
• A perturbation analysis of interactive static and dynamic bifurcations

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