Algebraic Limit Cycles in Piecewise Linear Differential Systems

Claudio A. Buzzi, Armengol Gasull, Joan Torregrosa

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)


© 2018 World Scientific Publishing Company. This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular, we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some one-parameter families with a saddle-node bifurcation of algebraic limit cycles. We also show that all degrees for algebraic limit cycles are allowed.
Original languageEnglish
Article number1850039
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Issue number3
Publication statusPublished - 1 Mar 2018


  • Nonsmooth differential system
  • algebraic limit cycle
  • hyperbolic and double limit cycle
  • piecewise linear differential system
  • saddle-node bifurcation of limit cycles


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