| Volume 1, Number 1, 2011, Pages 33-52 DOI：10.11948/2011004 |
| On the integrability of the differential systems in dimension two and of the polynomial differential systems in arbitrary dimension |
| Jaume Llibre |
| Keywords: |
| Abstract: |
| This is a survey on recent results providing sufficient conditions for the existence of a first integral, first for vector fields defined on real surfaces, and second for polynomial vector fields in \(R^n\) or \(C^n\) with \(n\geq 2\). We also provide an open question and some applications based on the existence of such first integrals. |
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