, Volume 9, Issue 1-2, pp 319-324,
Open Access This content is freely available online to anyone, anywhere at any time.
Date: 14 Oct 2010

Focal Values of Plane Cubic Centers

Abstract

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.