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Liouvillian integrability of a general Rayleigh-Duffing oscillator

Journal of Nonlinear Mathematical Physics (2019) 26(2) 169-187
DOI: 10.1080/14029251.2019.1591710
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Abstract

We give a complete description of the Darboux and Liouville integrability of a general Rayleigh-Duffing oscillator through the characterization of its polynomial first integrals, Darboux polynomials and exponential factors.

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Giné, J., & Valls, C. (2019). Liouvillian integrability of a general Rayleigh-Duffing oscillator. Journal of Nonlinear Mathematical Physics, 26(2), 169–187. https://doi.org/10.1080/14029251.2019.1591710

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