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- W3027945947 abstract "In this paper we deal with Bernoulli equations dy∕dx=A(x)yn+B(x)y, where A(x) and B(x) are real polynomials with A(x)⁄≡0 and n≥3. We prove that these Bernoulli equations can have at most 2 rational limit cycles if n is odd and at most one rational limit cycle if n is even. We also provide examples of Bernoulli equations with these numbers of rational limit cycles. Moreover we deal with the Riccati equations dy∕dx=A0(x)+A1(x)y+A2(x)y2, where A0(x),A1(x),A2(x) are real polynomials with A2(x)⁄≡0. We prove that these Riccati equations can have at most 2 rational limit cycles. We also provide examples of Riccati equations with these numbers of rational limit cycles." @default.
- W3027945947 created "2020-05-29" @default.
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- W3027945947 date "2020-09-01" @default.
- W3027945947 modified "2023-10-16" @default.
- W3027945947 title "Rational limit cycles on Bernoulli and Riccati equations" @default.
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- W3027945947 doi "https://doi.org/10.1016/j.geomphys.2020.103705" @default.
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