Rational limit cycles of Abel equations
نویسندگان
چکیده
We deal with Abel equations $ dy/dx = A(x) y^2 + B(x) y^3 $, where and are real polynomials. prove that these can have at most two rational limit cycles we characterize when this happens. Moreover provide examples of nontrivial cycles.
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Analysis
سال: 2021
ISSN: ['1534-0392', '1553-5258']
DOI: https://doi.org/10.3934/cpaa.2021007