Minimal subshifts which display Schweizer-Smítal chaos and have zero topological entropy

A class of minimal subshifts which display Schweizer-Smital chaos and have zero topotogical entropy is constructed, and it is proved that for a compact system, the positive topological entropy is not generally equivalent to Schweizer-Smital chaos occurring on the measure centre.

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Veröffentlicht in:Science China. Mathematics 1998-01, Vol.41 (1), p.33-38
Hauptverfasser: Gongfu, Liao, Qinjie, Fan
Format: Artikel
Sprache:eng
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Zusammenfassung:A class of minimal subshifts which display Schweizer-Smital chaos and have zero topotogical entropy is constructed, and it is proved that for a compact system, the positive topological entropy is not generally equivalent to Schweizer-Smital chaos occurring on the measure centre.
ISSN:1006-9283
1674-7283
1862-2763
1869-1862
DOI:10.1007/BF02900769