Topologically mixing maps with periodic points of each period (Q5939031)

Consider the unit circle \(S\) and let \(f: S\to S\) be continuous. \(f\) is topologically mixing if for every pair of non-empty open sets \(U, V\) there is a positive integer \(n_0\) such that \(f^k(U)\cap V \) is nonempty for all \(k>n_0\). The paper presents topologically mixing maps with non-trivial rotation sets of length greater than 1. Consequently, the map has periodic points of each period.