Limit cycles of polynomial differential systems of degree 1 and 2 on the cylinder
| Autor: | Jimenez, Johana, Llibre, Jaume |
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| Zdroj: | São Paulo Journal of Mathematical Sciences; December 2023, Vol. 17 Issue: 2 p679-691, 13p |
| Abstrakt: | We consider planar polynomial differential systems of degree 1 and 2 on the cylinder and we study their limit cycles. We prove that such linear differential systems have at most one limit cycle and that such quadratic differential systems have at most two limit cycles. Moreover such upper bounds are reached. |
| Databáze: | Supplemental Index |
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