Distributional chaos and spectral decomposition on the circle

DOI10.1016/S0166-8641(03)00165-2zbMath1032.37024MaRDI QIDQ1421978

Michal Málek

Publication date: 3 February 2004

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

Dynamical systemBasic setCircleMaximal \(\omega\)-limit set

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Ergodic theorems, spectral theory, Markov operators (37A30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

• Minimal subshifts which display Schweizer-Smítal chaos and have zero topological entropy
• Distributional (and other) chaos and its measurement
• Dynamics of homeomorphisms on minimal sets generated by triangular mappings
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
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