New aspects of integrability of force-free Duffing-van der Pol oscillator and related nonlinear systems

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In this letter we show that the force-free Duffing-van der Pol oscillator is completely integrable for a specific parametric choice. We derive a general solution for this parametric choice. Further, we describe a procedure to construct the transformation which removes the time dependent part from the first integral and provide the general solution by quadrature. The procedure is shown to have a wider applicability through additional examples. We also show that through our method one can deduce linearizing transformations in a simple and straightforward way and illustrate it with a specific example.
8 pages, 1 figure, J. Phys. A: Math. Gen. 37 (2004) to appear

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Exactly Solvable and Integrable Systems, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/80700

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0404001
 http://arxiv.org/abs/nlin/0404001
 J. Phys. A: Math. Gen. 37 (2004) 4527-4534
 doi:10.1088/0305-4470/37/16/004

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arXiv