We give a unified proof of the existence of turbulence for some classes of continuous interval maps which include, among other things, maps with periodic points of odd periods > 1, some maps with dense chain recurrent points and densely chaotic maps.

A continuous map f from a compact interval I into itself is densely (resp. generically) chaotic if the set of points (x, y) such that and is dense (resp. residual) in I × I. We prove that if the… Expand

We give a description of those continuous functions on the interval for which the set of periodic points is dense. The purpose of this paper is to describe those continuous functions / on the… Expand

Sharkovsky's theorem states that, if / is a continuous map from a compact interval into itself that has a period-m point, then / also has aperiod-^ point whenever m < n in the Sharkovsky's ordering of the natural numbers.Expand