24 crossing limit cycles in only one nest for piecewise cubic systems

Luiz F.S. Gouveia, Joan Torregrosa*

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

18 Citations (Scopus)

Abstract

In this work, we are interested in crossing limit cycles surrounding only one equilibrium point or a sliding segment. The studied systems are piecewise cubic polynomial defined in two zones separated by a straight line. In this class, we get at least 24 crossing limit cycles, all of them in only one nest, bifurcating from a cubic polynomial center. The computations use a parallelization algorithm.

Original languageEnglish
Article number106189
JournalApplied Mathematics Letters
Volume103
DOIs
Publication statusPublished - May 2020

Keywords

  • Cubic piecewise vector field
  • Lyapunov quantities
  • Piecewise center cyclicity

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