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arXiv · 1711.01646

A generalization of the S-function method applied to a Duffing-Van der Pol forced oscillator

L. G. S. Duarte·L. A. C. P. da Mota
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Abstract

In [1,2] we have developed a method (we call it the S-function method) that is successful in treating certain classes of rational second order ordinary differential equations (rational 2ODEs) that are particularly `resistant' to canonical Lie methods and to Darbouxian approaches. In this present paper, we generalize the S-function method making it capable of dealing with a class of elementary 2ODEs presenting elementary functions. Then, we apply this method to a Duffing-Van der Pol forced oscillator, obtaining an entire class of first integrals.

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L. G. S. Duarte, L. A. C. P. da Mota. 2017-11-05. A generalization of the S-function method applied to a Duffing-Van der Pol forced oscillator. https://doi.org/10.1016/j.cpc.2020.107306

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