Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843251 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 11 Pages |
Abstract
A discrete dynamical system on a compact metric space X is called universal (with respect to Ï-limit sets) if, among its Ï-limit sets, there is a homeomorphic copy of any Ï-limit set of any dynamical system on X. By a result of Pokluda and SmÃtal the unit interval admits a universal system. In this paper, we study the problem of the existence of universal systems on Cantor spaces, graphs, dendrites and higher-dimensional spaces.
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Authors
Jacek Chudziak, Juan Luis GarcÃa Guirao, L'ubomÃr Snoha, VladimÃr Å pitalský,