Solutions of the Duffing-harmonic oscillator by an iteration procedure

DOI10.1016/j.jsv.2006.05.023zbMath1243.65100OpenAlexW2070886181MaRDI QIDQ2899303

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Publication date: 28 July 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsv.2006.05.023

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for ordinary differential equations (65L99)

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Predicting homoclinic and heteroclinic bifurcation of generalized Duffing-harmonic-van der Pol oscillator ⋮ Newton-harmonic balancing approach for accurate solutions to nonlinear cubic-quintic duffing oscillators ⋮ An artificial parameter-Linstedt-Poincaré method for oscillators with smooth odd nonlinearities ⋮ Modified solutions of some oscillators by iteration procedure ⋮ Analytical solutions of a generalized Duffing-harmonic oscillator by a nonlinear time transformation method ⋮ Application of He's homotopy perturbation method to conservative truly nonlinear oscillators ⋮ On the variational iteration method and other iterative techniques for nonlinear differential equations ⋮ Application of He's energy balance method to Duffing-harmonic oscillators ⋮ An explicit approximate solution to the Duffing-harmonic oscillator by a cubication method ⋮ New perturbation-iteration solutions for Bratu-type equations ⋮ Homotopy analysis approach to Duffing-harmonic oscillator

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