title: Relations between distributional and Devaney chaos.
abstract: Recently, it was proven that chaos in the sense of Devaney and weak mixing both imply chaos in the sense of Li and Yorke. In this article we give explicit examples that any of these two implications do not hold for distributional chaos.
authors.affiliation: Faculty of Applied Mathematics, AGH University of Science and Technology, al. Mickiewicza 39, 30-059 Kraków, Poland. opracha@agh.edu.pl
authors.forename: Piotr
authors.initials: P
authors.lastname: Oprocha
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D019277:Entropy; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D013598:Systems Theory