Comparison of alternative improved perturbative methods for nonlinear oscillations

Details Comparison of alternative improved perturbative methods for nonlinear oscillations Comparison of alternative improved perturbative methods for nonlinear oscillations

2004-12-17

arxiv.org/abs/math-ph/0412060v1

Physics Letters A 340, 201-208 (2005)

Physics

Mathematical Physics

15 pages, 5 figures

Scientific paper

10.1016/j.physleta.2005.04.004

We discuss and compare two alternative perturbation approaches for the calculation of the period of nonlinear systems based on the Lindstedt--Poincar\'{e} 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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