Minimal systems and distributionally scrambled sets

DOI10.24033/bsmf.2631zbMath1278.37013OpenAlexW231563672MaRDI QIDQ4907718

Piotr Oprocha

Publication date: 22 February 2013

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_2012__140_3_401_0/

zbMATH Keywords

scrambled setsfiltersLi-Yorke chaosdistributional chaosMycielski setschaotic pairs

Mathematics Subject Classification ID

Topological entropy (37B40) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (9)

Invariant scrambled sets, uniform rigidity and weak mixing ⋮ Double minimality, entropy and disjointness with all minimal systems ⋮ MEAN LI-YORKE CHAOS IN A COUPLED LATTICE SYSTEM RELATED WITH THE BELUSOV-ZHABOTINSKII REACTION ⋮ Mean Li-Yorke chaos for random dynamical systems ⋮ Devaney chaos plus shadowing implies distributional chaos ⋮ Limit sets, attractors and chaos ⋮ Stable sets and mean Li-Yorke chaos in positive entropy systems ⋮ Positive topological entropy implies chaos DC2 ⋮ Recent development of chaos theory in topological dynamics

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