Distributionally Chaotic (of Type 3) Distal System
نویسنده
چکیده
We show the existence of a distal dynamical system which possess an uncountable distributionally scrambled set of type 3. This distal system has no Li-Yorke pairs, hence the distributional chaos of type 3 does not imply the Li-Yorke chaos. Moreover, the system is conjugated to a system without any distributionally scrambled pair. Therefore the distributional chaos of type 3 is not preserved by conjugacy. 2000 Mathematics Subject Classification. Primary 37D45; 37B40.
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