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Llibre, Jaume; Valls, Claudia
Journal of mathematical analysis and applications, 11/2021, Letnik: 503, Številka: 1Journal Article
Let x˙=P(x,y), y˙=Q(x,y) be a differential system with P and Q real polynomials, and let d=max{degP,degQ}. A singular point p of this differential system is a global center if R2∖{p} is filled with periodic orbits. We prove that if d is even then the polynomial differential systems have no global centers.
