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Qualitative Theory of Dynamical Systems

, Volume 9, Issue 1–2, pp 319–324

First Online: 14 October 2010Received: 21 February 2009Accepted: 09 July 2010


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.

Supported by the German Research Foundation Deutsche Forschungsgemeinschaft DFG through the Institutional Strategy of the University of Göttingen.

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Author: Hans-Christian Graf v. Bothmer - Jakob Kröker



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