Linearization of planar homeomorphisms with a compact attractor

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Abstract

© 2016 Juliusz Schauder Centre for Nonlinear Studies. Kerékjártó proved in 1934 that a planar homeomorphism with an asymptotically stable fixed point is conjugated, on its basin of attraction, to one of the maps z (Formula Present.) depending on whether f preserves or reverses the orientation. We extend this result to planar homeomorphisms with a compact attractor.
Original languageEnglish
Pages (from-to)493-506
JournalTopological Methods in Nonlinear Analysis
Volume48
Issue number2
DOIs
Publication statusPublished - 1 Dec 2016

Keywords

  • Attractor
  • Kerékjártó‘s theorem
  • Linearization
  • Lyapunov function

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