| Autor: |
Rebiha Benterki, Jaume Llibre |
| Jazyk: |
angličtina |
| Rok vydání: |
2012 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Differential Equations, Vol 2012, Iss 78,, Pp 1-6 (2012) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
Up to now all the examples of polynomial differential systems for which non-algebraic limit cycles are known explicitly have degree at most 5. Here we show that already there are polynomial differential systems of degree at least exhibiting explicit non-algebraic limit cycles. It is well known that polynomial differential systems of degree 1 (i.e. linear differential systems) has no limit cycles. It remains the open question to determine if the polynomial differential systems of degree 2 can exhibit explicit non-algebraic limit cycles. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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