Automatic computation of polyharmonic balance equations for non-linear differential systems

DOI10.1080/0020717031000079436zbMath1048.93041OpenAlexW2117543206MaRDI QIDQ4810943

J. C. Peyton Jones

Publication date: 17 August 2004

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020717031000079436

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Design techniques (robust design, computer-aided design, etc.) (93B51)

Related Items (6)

A symbolic algorithm for the automatic computation of multitone-input harmonic balance equations for nonlinear systems ⋮ Recent advances and comparisons between harmonic balance and Volterra-based nonlinear frequency response analysis methods ⋮ Frequency response investigations of multi-input multi-output nonlinear systems using automated symbolic harmonic balance method ⋮ Practical frequency response analysis of non-linear time-delayed differential or difference equation models ⋮ Output frequency response characteristics of nonlinear systems. Part II: overlapping effects and commensurate multi-tone excitations ⋮ Parametric characteristic analysis for generalized frequency response functions of nonlinear systems

Cites Work

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• A SIMPLE CRITERION FOR ESTABLISHING AN UPPER LIMIT TO THE HARMONIC EXCITATION LEVEL OF THE DUFFING OSCILLATOR USING THE VOLTERRA SERIES
• Symbolic computation of harmonic balance equations
• Mapping nonlinear integro-differential equations to a generalized describing function form
• The Use of Volterra Series to Find Region of Stability of a Non-linear Differential Equation†
• Mapping non-linear integro-differential equations into the frequency domain

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