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| Pàgina inicial > Articles > Articles publicats > Polynomial differential systems with explicit non-algebraic limit cycles |
(Centre Universitaire de Bordj Bou Arréridj. Département de Mathématiques (Algeria)) (Universitat Autònoma de Barcelona. Departament de Matemàtiques)| Data: | 2012 |
| Resum: | Up to know all the examples of polynomial differential systems for which non-algebraic limit cycles are known explicitly have degree ≥ 5. Here we show that already there are polynomial differential systems of degree ≥ 3 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. |
| Ajuts: | Ministerio de Ciencia y Tecnología MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 |
| Nota: | Agraïments/Ajudes: The second author is partially supported by the Algerian Ministry of Higher Education and Scientific Research under project B03320090002. |
| Drets: | Tots els drets reservats.  |
| Llengua: | Anglès |
| Document: | Article ; recerca ; Versió acceptada per publicar |
| Matèria: | Non-algebraic limit cycle ; Polynomial vector field |
| Publicat a: | Electronic journal of differential equations, Vol. 2012 Núm. 78 (2012) , p. 1-6, ISSN 1072-6691 |
5 p, 282.3 KB |
