On distributionally chaotic and null systems

DOI10.1016/j.jmaa.2010.08.068zbMath1211.37034OpenAlexW2008822020MaRDI QIDQ616698

Feng Tan, Heman Fu, Jin Cheng Xiong

Publication date: 12 January 2011

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.2010.08.068

zbMATH Keywords

topological sequence entropydistributional chaosnullindependence set

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40)

Related Items (6)

Chaos and null systems ⋮ On \(n\)-scrambled sets ⋮ On \(\lambda\)-power distributional \(n\)-chaos ⋮ A class of Furstenberg families and their applications to chaotic dynamics ⋮ Periodic points of regular curve homeomorphisms ⋮ The Hierarchy of Distributional Chaos

Cites Work

• Unnamed Item
• Unnamed Item
• Countable compacta admitting homeomorphisms with positive sequence entropy
• Minimal subshifts which display Schweizer-Smítal chaos and have zero topological entropy
• Independence in topological and \(C^*\)-dynamics
• Null flows and null functions on \(\mathbb R\)
• Homeomorphisms with the whole compacta being scrambled sets
• Distributional chaos revisited
• Positive Sequence Topological Entropy Characterizes Chaotic Maps
• Topological Sequence Entropy
• Period Three Implies Chaos
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• Null systems and sequence entropy pairs
• Topological sequence entropy of interval maps
• On Li-Yorke pairs
• Strange triangular maps of the square
• Topological Entropy
• Topological size of scrambled sets

This page was built for publication: On distributionally chaotic and null systems