An equivalent nonlinearization method for strongly nonlinear oscillations

DOI10.1016/J.MECHRESCOM.2004.10.004zbMath1192.70038OpenAlexW2064823980MaRDI QIDQ986769

Xiaofeng Wu, Jianping Cai, Yiping Li

Publication date: 12 August 2010

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mechrescom.2004.10.004

zbMATH Keywords

least squares methodfree-electron laserstrongly nonlinear oscillatorequivalent nonlinearizationslowly varying parameter

Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60)

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Approximate solution for the Duffing-harmonic oscillator by the enhanced cubication method ⋮ A transformation method for solving conservative nonlinear two-degree-of-freedom systems ⋮ Accurate solutions of conservative nonlinear oscillators by the enhanced cubication method ⋮ Analytical approximate solutions for the cubic-quintic Duffing oscillator in terms of elementary functions ⋮ The modified homotopy perturbation method for solving strongly nonlinear oscillators

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