Complex formulation of the IHB technique and its comparison with other methods

DOI10.1016/S0307-904X(01)00040-3zbMath1246.65143OpenAlexW1985632404MaRDI QIDQ1347923

Weiyi Zhang, Koncay Huseyin

Publication date: 15 May 2002

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

Full work available at URL: https://doi.org/10.1016/s0307-904x(01)00040-3

zbMATH Keywords

nonlinear oscillationsperturbationsnormal formsaveraging methods\texttt{MAPLE}intrinsic harmonic balancing

Mathematics Subject Classification ID

Qualitative theory for ordinary differential equations (34C99) Numerical methods for ordinary differential equations (65L99)

Related Items (1)

Incremental harmonic balance method for airfoil flutter with multiple strong nonlinearities

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Cites Work

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• On the relation between the methods of averaging and normal forms
• A NEW APPROACH FOR OBTAINING NORMAL FORMS OF NON-LINEAR SYSTEMS
• ON THE COMPUTATION OF THE COEFFICIENTS ASSOCIATED WITH HIGH ORDER NORMAL FORMS
• An intrinsic method of harmonic analysis for non-linear oscillations (a perturbation technique)
• Degenerate Hopf Bifurcation Formulas and Hilbert’s 16th Problem
• ON THE APPLICATION OF IHB TECHNIQUE TO THE ANALYSIS OF NON-LINEAR OSCILLATIONS AND BIFURCATIONS

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