On the number of limit cycles for discontinuous piecewise linear differential systems in ℝ2n with two zones

Jaume Llibre, Feng Rong

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)

Abstract

We study the number of limit cycles of the discontinuous piecewise linear differential systems in ℝ2n with two zones separated by a hyperplane. Our main result shows that at most (8n - 6)n-1 limit cycles can bifurcate up to first-order expansion of the displacement function with respect to a small parameter. For proving this result, we use the averaging theory in a form where the differentiability of the system is not necessary. © 2013 World Scientific Publishing Company.
Original languageEnglish
Article number1350024
JournalInternational Journal of Bifurcation and Chaos
Volume23
Issue number2
DOIs
Publication statusPublished - 1 Jan 2013

Keywords

  • averaging method
  • discontinuous piecewise linear differential systems
  • Limit cycles

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