Qualitative Theory of Dynamical Systems

, Volume 9, Issue 1, pp 319–324

Focal Values of Plane Cubic Centers

Open Access

DOI: 10.1007/s12346-010-0031-8

Cite this article as:
Graf v. Bothmer, HC. & Kröker, J. Qual. Theory Dyn. Syst. (2010) 9: 319. doi:10.1007/s12346-010-0031-8


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.

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© The Author(s) 2010

Authors and Affiliations

  1. 1.Courant Research Centre “Higher Order Structures”, Mathematisches InstitiutGeorg-August-Universität GöttingenGöttingenGermany

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