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Comparison of alternative improved perturbative methods for nonlinear oscillations

Paolo Amore·Francisco Fernandez·Alfredo Raya
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Abstract

We discuss and compare two alternative perturbation approaches for the calculation of the period of nonlinear systems based on the Lindstedt--Poincaré technique. As illustrative examples we choose one--dimensional anharmonic oscillators and the Van der Pol equation. Our results show that each approach is better for just one type of model considered here.

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Paolo Amore, Francisco Fernandez, Alfredo Raya. 2004-12-17. Comparison of alternative improved perturbative methods for nonlinear oscillations. https://doi.org/10.1016/j.physleta.2005.04.004

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