Averaging theory for discontinuous piecewise differential systems

Jaume Llibre, Ana C. Mereu, Douglas D. Novaes

Research output: Contribution to journalArticleResearchpeer-review

85 Citations (Scopus)


© 2015 Elsevier Inc. We develop the averaging theory of first and second order for studying the periodic solutions of discontinuous piecewise differential systems in arbitrary dimension and with an arbitrary number of systems with the minimal conditions of differentiability. We also provide two applications.
Original languageEnglish
Pages (from-to)4007-4032
JournalJournal of Differential Equations
Issue number11
Publication statusPublished - 1 Jan 2015


  • Discontinuous differential systems
  • Limit cycles averaging theory
  • Nonsmooth dynamical systems
  • Periodic solutions


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