From a Floyd-Auslander minimal system to an odd triangular map

DOI10.1016/j.jmaa.2003.12.043zbMath1046.37022OpenAlexW1967494941MaRDI QIDQ1877788

Jacek Chudziak, Vladimír Špitalský, Ľubomír Snoha

Publication date: 19 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.12.043

zbMATH Keywords

Li-Yorke chaosRecurrent pointTriangular mapMinimal systemScrambled setUniformly recurrent point

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (7)

Classification of Floyd-Auslander systems with fixed pattern ⋮ Generic chaos on dendrites ⋮ Floyd-Auslander system and its multiple recurrent properties ⋮ Strange distributionally chaotic triangular maps. II ⋮ A triangular map with homoclinic orbits and no infinite \(\omega\)-limit set containing periodic points ⋮ On skew-product maps with the base having a closed set of periodic points ⋮ Nonwandering set of points of skew-product maps with base having closed set of periodic points

Cites Work

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• Mean-L-stable systems
• Triangular maps with all periods and no infinite \(\omega\)-limit set containing periodic points
• On dynamics of triangular maps of the square
• On Sharkovsky's cycle coexistence ordering
• A nonhomogeneous minimal set

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