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Polynomial differential systems with explicit non-algebraic limit cycles / Benterki, Rebiha (Centre Universitaire de Bordj Bou Arréridj. Département de Mathématiques (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
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. [...]
2012
Electronic journal of differential equations, Vol. 2012 Núm. 78 (2012) , p. 1-6

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