Algebraic limit cycles of planar cubic systems

E. P. Volokitin, V. M. Cheresiz

Research output: Contribution to journalArticlepeer-review

Abstract

We study algebraic limit cycles of differential systems of the form ẋ = x + P3(x; y); ẏ = y + Q3(x; y) where P3(x; y) and Q3(x; y) are homogeneous cubic polynomials.

Original languageEnglish
Pages (from-to)2045-2054
Number of pages10
JournalSiberian Electronic Mathematical Reports
Volume17
DOIs
Publication statusPublished - 2020

Keywords

  • algebraic limit cycles
  • non-algebraic limit cycles
  • phase portraits
  • polynomial systems

OECD FOS+WOS

  • 1.01 MATHEMATICS

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