Canard cycles with three breaking mechanisms

Magdalena Caubergh, Robert Roussarie

Research output: Chapter in BookChapterResearchpeer-review

Abstract

© Springer International Publishing Switzerland 2016. This article deals with relaxation oscillations from a generic balanced canard cycle Γ subject to three breaking parameters of Hopf or jump type. We prove that in a rescaled layer of Γ there bifurcate at most five relaxation oscillations.
Original languageEnglish
Title of host publicationSpringer Proceedings in Mathematics and Statistics
Pages61-77
Number of pages16
Volume157
ISBN (Electronic)2194-1017
DOIs
Publication statusPublished - 1 Jan 2016

Keywords

  • Balanced
  • Bifurcating limit cycle
  • Breaking parameter
  • Cyclicity
  • Relaxation oscillations
  • Rescaled layer
  • n-multi-layer canard cycle

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