Topological dynamics of two-piece eventually expanding maps

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Abstract

In this work we show that two-piece eventually expanding maps have the same topological dynamics as two-piece expanding maps. A two-piece eventually expanding map possesses an invariant set that is either a topological attractor or can be perturbed to become one.

Original languageEnglish
Pages (from-to)1033-1036
Number of pages4
JournalApplied Mathematics Letters
Volume21
Issue number10
DOIs
StatePublished - 1 Oct 2008

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Keywords

  • Attractor
  • Expanding map
  • Geometric model
  • Invariant measure
  • Lorenz attractor

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