The chaotic properties of increasing gap shifts

DOI10.1155/2019/2936560zbMath1486.37013OpenAlexW2916267061MaRDI QIDQ2330275

Syahida Che Dzul-Kifli, Malouh Baloush, Nor Syahmina Kamarudin

Publication date: 28 October 2019

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/2936560

zbMATH Keywords

chaosmixing

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamics in general topological spaces (37B02)

Cites Work

• Unnamed Item
• Recent development of chaos theory in topological dynamics
• Dynamics and topology of \(S\)-gap shifts
• A chaotic, non-mixing subshift
• Generic points in systems of specification and Banach valued Birkhoff ergodic average
• Chaos on hyperspaces
• Ergodic theory on compact spaces
• Dynamical properties of \(S\)-gap shifts and other shift spaces
• Chaos on the Interval
• On Devaney Chaos and Dense Periodic Points: Period 3 and Higher Implies Chaos
• On Devaney's Definition of Chaos
• On Intervals, Transitivity = Choas
• Transitivity and Dense Periodicity for Graph Maps

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