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Pàgina inicial > Articles > Articles publicats > Rational limit cycles of Abel equations |
Data: | 2021 |
Resum: | In this paper we deal with Abel equations dy/dx = A(x)y2 + B(x)y3, where A(x) and B(x) are real polynomials. We prove that these Abel equations can have at most three rational limit cycles and we characterize when this happens. Moreover, we provide examples of these Abel equations with three nontrivial rational limit cycles. We also prove that in this case the limit cycles cannot be hyperbolic. |
Ajuts: | Ministerio de Ciencia e Innovación MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Algebraic limit cycles ; Rational limit cycles ; Abel equations ; Hyperbolic limit cycles |
Publicat a: | Communications on pure & applied analysis, Vol. 20, Issue 3 (March 2021) , p. 1077-1089, ISSN 1553-5258 |
Postprint 14 p, 670.7 KB |