Local limit cycles of degenerate foci in cubic systems

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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
Pages21-27
Number of pages7
Volume157
DOIs
StatePublished - 2016

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Keywords

  • Cubic system
  • Limit cycles degenerate focus

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Blows, T. R. (2016). Local limit cycles of degenerate foci in cubic systems. In Springer Proceedings in Mathematics and Statistics (Vol. 157, pp. 21-27). Springer New York LLC. https://doi.org/10.1007/978-3-319-31323-8_2