Focal Values of Plane Cubic Centers
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- Graf v. Bothmer, H. & Kröker, J. Qual. Theory Dyn. Syst. (2010) 9: 319. doi:10.1007/s12346-010-0031-8
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We prove that the vanishing of 11 focal values is not sufficient to ensure that a complex plane cubic system has a complex center. This is done by finding a complex cubic system with a high order weak focus using an extensive computer search.