Alternative Fourier-series approach to nonlinear oscillations

2009/10/07 by Francisco M. Fernández, Fernández, Francisco M.
Engineering · Mathematics · Physics and Astronomy · #Differential Equations and Numerical Methods #Elasticity and Wave Propagation #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods for differential equations #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0910.1240

openalex publication_date 2009/10/07 · arxiv created 2009/10/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

We propose an alternative approach that avoids the nonlinear equations for the Fourier coefficients that appear in the method of harmonic balance. We apply it to two simple illustrative examples.

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