Article

Qualitative Theory of Dynamical Systems

, Volume 9, Issue 1, pp 319-324

Open Access This content is freely available online to anyone, anywhere at any time.

Focal Values of Plane Cubic Centers

  • Hans-Christian Graf v. BothmerAffiliated withCourant Research Centre “Higher Order Structures”, Mathematisches Institiut, Georg-August-Universität Göttingen Email author 
  • , Jakob KrökerAffiliated withCourant Research Centre “Higher Order Structures”, Mathematisches Institiut, Georg-August-Universität Göttingen

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.