Iteration calculations of periodic solutions to nonlinear jerk equations

DOI10.1007/S00707-009-0179-YzbMath1381.34060OpenAlexW2003043929MaRDI QIDQ846096

N. E. Zubov

Publication date: 1 February 2010

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-009-0179-y

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Numerical methods for ordinary differential equations (65L99)

Related Items (4)

Global residue harmonic balance method to periodic solutions of a class of strongly nonlinear oscillators ⋮ Comparison of two iteration procedures for a class of nonlinear jerk equations ⋮ Limit cycle analysis of nonsmooth aeroelastic system of an airfoil by extended variational iteration method ⋮ Approximate periodic solutions for oscillatory phenomena modelled by nonlinear differential equations

Cites Work

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• Perturbation method for periodic solutions of nonlinear jerk equations
• An analytical approximate technique for a class of strongly non-linear oscillators
• Iteration procedure for determining approximate solutions to non-linear oscillator equations
• Harmonic balance approach to periodic solutions of non-linear jerk equations
• MODIFIED MICKENS PROCEDURE FOR CERTAIN NON-LINEAR OSCILLATORS
• A generalized iteration procedure for calculating approximations to periodic solutions of “truly nonlinear oscillators”
• Iteration method solutions for conservative and limit-cycle force oscillators

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