Distributional Chaotic Generalized Shifts

DOI10.1080/1726037X.2020.1774156zbMath1499.37022arXiv1708.04832OpenAlexW3046823684MaRDI QIDQ5029611

Fatemah Ayatollah Zadeh Shirazi, Zahra Nili Ahmadabadi

Publication date: 14 February 2022

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.04832

zbMATH Keywords

generalized shiftLi-Yorke chaoticdistributional chaotic

Mathematics Subject Classification ID

Special maps on metric spaces (54E40) Topological entropy (37B40) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Cites Work

• On transitive points in a generalized shift dynamical system
• On maps with dense orbits and the definition of chaos
• The three versions of distributional chaos
• Distributional chaos revisited
• On Devaney's Definition of Chaos
• Period Three Implies Chaos
• Algebraic Entropy of Generalized Shifts on Direct Products
• On Devaney chaotic generalized shift dynamical systems
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