On the relation between the methods of averaging and normal forms

DOI10.1016/S0307-904X(99)00036-0zbMath0972.34027OpenAlexW1990236593MaRDI QIDQ1590429

Weiyi Zhang, Koncay Huseyin

Publication date: 2000

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

Full work available at URL: https://doi.org/10.1016/s0307-904x(99)00036-0

zbMATH Keywords

comparisonnonlinear systemsnormal formsaveraging method

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Averaging method for ordinary differential equations (34C29) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (3)

Complex formulation of the IHB technique and its comparison with other methods ⋮ The effect of oscillations in the dynamics of differential equations with delay ⋮ A canonical model for gradient frequency neural networks

Cites Work

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• Singularities and groups in bifurcation theory. Volume II
• A NEW APPROACH FOR OBTAINING NORMAL FORMS OF NON-LINEAR SYSTEMS
• ON THE COMPUTATION OF THE COEFFICIENTS ASSOCIATED WITH HIGH ORDER NORMAL FORMS
• Free vibration and buckling of shear-deformable cross-ply laminated plates using the state-space concept
• Degenerate Hopf Bifurcation Formulas and Hilbert’s 16th Problem
• ON THE ANALYSIS OF CERTAIN HIGH DIMENSIONAL SYSTEMS WITH INNER RESONANCES

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