JournalspmVol. 69 / No. 2DOI 10.4171/pm/1911

Sharkovskii order for non-wandering points

  • Maria Pires de Carvalho

    Universidade do Porto, Portugal
  • Fernando Jorge Moreira

    Universidade do Porto, Portugal
Sharkovskii order for non-wandering points cover

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Abstract

For a map , a point is periodic with period if and for all . When is continuous and is an interval, a theorem due to Sharkovskii ([1]) states that there is an order in , say , such that if has a periodic point of period and , then also has a periodic point of period . In this work, we will see how an extension of the order to sequences of positive integers yields a Sharkovskii-type result for non-wandering points of .