On maps with dense orbits and the definition of chaos
The article deals with a chaotic behaviour in dynamical systems. The object is to examine the relationship between the axioms for the most popular definitions of chaos in discrete systems. The focus is on a definitive analysis in the case of one-dimensional manifold. The dynamical systems are considered on the interval, on the Cantor set, on the circle. It must be noticed the paper ``On the definition of chaos'' [Z. Angew. Math. Mech. 69, 175-185 (1989; Zbl 0713.58035)] by \textit{U. Kirchgraber} and \textit{D. Stoffer}, where the same problem is discussed in some other sense.
scientific article; zbMATH DE number 61938
scientific article