On the rational limit cycles of Abel equations

Changjian Liu, Chunhui Li, Xishun Wang and Junqiao Wu

Chaos, Solitons & Fractals, 2018, vol. 110, issue C, 28-32

Abstract: In this paper, we deal with Abel equations: dxdy=A(x)y2+B(x)y3, where A(x) and B(x) are real polynomials. If a solution y=φ(x) of the above equations satisfies that φ(0)=φ(1), then we say that it is a periodic solution. If a periodic solution is isolated, then we call it a limit cycle. If a limit cycle y=φ(x) is a rational function but not a polynomial, then we call it a nontrivial rational limit cycle.

Keywords: Rational limit cycles; Abel equations; Multiplicity (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:110:y:2018:i:c:p:28-32

DOI: 10.1016/j.chaos.2018.03.004

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