Averaging theory for discontinuous piecewise differential systems

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

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Abstract

© 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
Volume258
Issue number11
DOIs
Publication statusPublished - 1 Jan 2015

Keywords

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

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    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