Generalized Fourier series for non-linear systems: application to the study of limit cycles in second-order approximation

DOI10.1080/00207178908953396zbMath0689.34030OpenAlexW2006778324MaRDI QIDQ3031288

J. G-Margallo, J. D. Bejarano

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00207178908953396

zbMATH Keywords

van der Pol equationJacobian elliptic functionsNumerical results

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical analysis in abstract spaces (65J99)

Cites Work

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• Construction of approximate analytical solutions to a new class of non-linear oscillator equations
• Generalized fourier series for the study of limit cycles
• A generalization of the method of harmonic balance
• A generalization of the method of harmonic balance

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