Averaging theory for discontinuous piecewise differential systems

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

Research output: Contribution to journalArticleResearchpeer-review

48 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

Fingerprint Dive into the research topics of 'Averaging theory for discontinuous piecewise differential systems'. Together they form a unique fingerprint.

  • Cite this

    Llibre, J., Mereu, A. C., & Novaes, D. D. (2015). Averaging theory for discontinuous piecewise differential systems. Journal of Differential Equations, 258(11), 4007-4032. https://doi.org/10.1016/j.jde.2015.01.022