Periodic solution to nonlinear oscillators without artificial noises by the homotopy perturbation method | Zendy

Wu Yue | Zendy

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Periodic solution to nonlinear oscillators without artificial noises by the homotopy perturbation method

Author(s) -

Wu Yue

Publication year - 2019

Publication title -

journal of low frequency noise, vibration and active control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.419

H-Index - 25

eISSN - 2048-4046

pISSN - 1461-3484

DOI - 10.1177/1461348418800902

Subject(s) - nonlinear system , homotopy perturbation method , homotopy analysis method , perturbation (astronomy) , homotopy , chaotic , poincaré–lindstedt method , mathematics , control theory (sociology) , nonlinear oscillations , mathematical analysis , physics , computer science , pure mathematics , quantum mechanics , artificial intelligence , control (management)

This paper elucidates a wrong trend in solving nonlinear oscillators. The homotopy perturbation method leads to a period solution to a nonlinear oscillator with high nonlinearity, while the Parker–Sochacki method results in a chaotic one and it is invalid for solving nonlinear oscillators.

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