Global residue harmonic balance method to periodic solutions of a class of strongly nonlinear oscillators

DOI10.1016/j.apm.2014.05.026zbMath1449.34053OpenAlexW2084560953MaRDI QIDQ1634587

Peijun Ju, Xin Xue

Publication date: 18 December 2018

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

Full work available at URL: https://doi.org/10.1016/j.apm.2014.05.026

zbMATH Keywords

periodic solutionresidual errorjerk equationglobal residue harmonic balance

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

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Cites Work

• Iterative homotopy harmonic balancing approach for conservative oscillator with strong odd-nonlinearity
• Perturbation method for periodic solutions of nonlinear jerk equations
• Iteration calculations of periodic solutions to nonlinear jerk equations
• The iterative homotopy harmonic balance method for conservative Helmholtz-Duffing oscillators
• Analytical and approximate solutions to autonomous, nonlinear, third-order ordinary differential equations
• Harmonic balance approach to periodic solutions of non-linear jerk equations
• Harmonic balance approach to limit cycles for nonlinear jerk equations