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Focal values of plane cubic centers

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Hans Christian Graf v. Bothmer
  • Jakob Kröker

External Research Organisations

  • University of Göttingen

Details

Original languageEnglish
Pages (from-to)319-324
Number of pages6
JournalQualitative Theory of Dynamical Systems
Volume9
Issue number1-2
Publication statusPublished - 2010
Externally publishedYes

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.

Cite this

Focal values of plane cubic centers. / Bothmer, Hans Christian Graf v.; Kröker, Jakob.
In: Qualitative Theory of Dynamical Systems, Vol. 9, No. 1-2, 2010, p. 319-324.

Research output: Contribution to journalArticleResearchpeer review

Bothmer HCGV, Kröker J. Focal values of plane cubic centers. Qualitative Theory of Dynamical Systems. 2010;9(1-2):319-324. doi: 10.1007/s12346-010-0031-8
Bothmer, Hans Christian Graf v. ; Kröker, Jakob. / Focal values of plane cubic centers. In: Qualitative Theory of Dynamical Systems. 2010 ; Vol. 9, No. 1-2. pp. 319-324.
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