Local limit cycles of degenerate foci in cubic systems

Terence R Blows

Research output: Chapter in Book/Report/Conference proceedingChapter


The problem of determining the stability of a weak focus in a quadratic or cubic system has been the focus of much research. Here we outline a simple but imperfect approach to the study of degenerate foci and use the method to give an example of a cubic system with four local limit cycles about a degenerate focus.

Original languageEnglish (US)
Title of host publicationSpringer Proceedings in Mathematics and Statistics
PublisherSpringer New York LLC
Number of pages7
StatePublished - 2016


  • Cubic system
  • Limit cycles degenerate focus

ASJC Scopus subject areas

  • Mathematics(all)


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