A note about Milnor attractor and riddled basin
Attractors play an important role on the long-time behaviour of dynamical systems. In particular, a notion of an attractor was introduced by Milnor ignores initial conditions on a set of zero measure. This gives a theoretical framework for understanding attractors with ``riddled basin'' that are attracting for a large measure set of initial conditions. Here, the author presents some definitions and basic results on attractors. Moreover, the author gives some examples which show the relations between the Milnor attractor and the riddling attractor.
scientific article; zbMATH DE number 2077269