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A ROLE OF INITIAL CONDITIONS CHOICE ON THE RESULTS OBTAINED USING DIFFERENT PERTURBATION METHODS

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Publication:2882019
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DOI10.1006/jsvi.2000.2939zbMath1237.34050OpenAlexW2110438391MaRDI QIDQ2882019

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Publication date: 3 May 2012

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

Full work available at URL: https://doi.org/10.1006/jsvi.2000.2939


Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic expansions of solutions to ordinary differential equations (34E05)


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Quasifractional approximants for matching small and large \(\delta\) approaches, Approximate periodic solutions for oscillatory phenomena modelled by nonlinear differential equations, The homotopy perturbation method for nonlinear oscillators with discontinuities., Approximate period of nonlinear oscillators with discontinuities by modified Lindstedt--Poincaré method, Application of the differential transformation method to the solution of a damped system with high nonlinearity



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