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Distributional chaos revisited. (English) Zbl 1179.37017

The modification of the definition of distributionally scrambled set in a way that it becomes significant from the topological point of view, that is, to avoid its concentration on small sets is the main idea of this work. In an example it shown that the definition of distributional chaos may be fulfilled by a dynamical system with regular dynamics embedded.

The basic results are stated in 35 theorems.

MSC:
37B10Symbolic dynamics
37D45Strange attractors, chaotic dynamics