Diffeomorphisms of the plane with stable periodic points

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1 Scopus citations


We consider self-diffeomorphisms of the plane with a hyperbolic fixed point and a nontransversal homoclinic point. We show that a neighborhood of the homoclinic point may contain countably many stable periodic sets whose characteristic exponents are bounded away from zero.

Original languageEnglish
Pages (from-to)309-317
Number of pages9
JournalDifferential Equations
Issue number3
StatePublished - 1 Mar 2012

Scopus subject areas

  • Mathematics(all)
  • Analysis


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