We consider the effect of random perturbations on canards. We find the appropriate size of the random perturbations to produce a random selection of a regular duck versus a headless duck. The appropriate limit theorem, in the appropriate topology, is proved.

Original languageEnglish (US)
Pages (from-to)824-889
Number of pages66
JournalJournal of Theoretical Probability
Issue number4
StatePublished - Dec 2008


  • Fenichel manifolds

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Statistics, Probability and Uncertainty

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