Abstract
This is a survey on recent results on the Darboux integrability of polynomial vector fields in \({\mathbb{R}^n}\) or \({\mathbb{C}^n}\) with n ≥ 2. We also provide an open question and some applications based on the existence of such first integrals.
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Llibre, J., Zhang, X. On the Darboux Integrability of Polynomial Differential Systems. Qual. Theory Dyn. Syst. 11, 129–144 (2012). https://doi.org/10.1007/s12346-011-0053-x
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DOI: https://doi.org/10.1007/s12346-011-0053-x