Universitat Autònoma de Barcelona

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14 p, 670.7 KB

Rational limit cycles of Abel equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática (Portugal))
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. [...]
2021 - DOI (Digital Object Identifier)

10.3934/CPAA.2021007
Communications on pure & applied analysis, Vol. 20, Issue 3 (March 2021) , p. 1077-1089

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