Abstract
In this paper, we prove that the C1 planar differential systems that are integrable and non-Hamiltonian roughly speaking are C1 equivalent to the linear differential systems. Additionally, we show that these systems have always a Lie symmetry. These results are improved for the class of polynomial differential systems defined in R2 or C2. © 2011 Springer Basel AG.
| Original language | English |
|---|---|
| Pages (from-to) | 567-574 |
| Journal | Zeitschrift fur Angewandte Mathematik und Physik |
| Volume | 62 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Aug 2011 |
Keywords
- Darboux theory of integrability
- Linear differential systems
- Planar integrability
- Polynomial differential systems
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Cite this
Giné, J., & Llibre, J. (2011). On the planar integrable differential systems. Zeitschrift fur Angewandte Mathematik und Physik, 62(4), 567-574. https://doi.org/10.1007/s00033-011-0116-5