Limit cycles for a class of continuous piecewise linear differential systems with three zones

Maurício Firmino Silva Lima, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)

Abstract

In this paper, we consider a class of planar continuous piecewise linear vector fields with three zones. Using the Poincaré map, we show that these systems admit always a unique limit cycle, which is hyperbolic. © 2012 World Scientific Publishing Company.
Original languageEnglish
Article number1250138
JournalInternational Journal of Bifurcation and Chaos
Volume22
Issue number6
DOIs
Publication statusPublished - 1 Jan 2012

Keywords

  • continuous piecewise
  • Equilibrium point
  • limit cycle
  • linear vector fields
  • periodic point
  • Poincaré map

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