Open Access
Article

Qualitative Theory of Dynamical Systems

, Volume 9, Issue 1, pp 319-324

Focal Values of Plane Cubic Centers

Authors

  • Hans-Christian Graf v. Bothmer
    • Courant Research Centre “Higher Order Structures”, Mathematisches InstitiutGeorg-August-Universität Göttingen
  • Jakob Kröker
    • Courant Research Centre “Higher Order Structures”, Mathematisches InstitiutGeorg-August-Universität Göttingen

DOI: 10.1007/s12346-010-0031-8

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.

Open Access

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Copyright information

© The Author(s) 2010