Strong distributional chaos and minimal sets
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Publication:1019144
DOI10.1016/J.TOPOL.2009.01.015zbMath1175.37034OpenAlexW2035309022MaRDI QIDQ1019144
Jaroslav Smítal, Francisco Balibrea
Publication date: 28 May 2009
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2009.01.015
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Iteration of real functions in one variable (26A18) Topological dynamics (37Bxx)
Related Items (10)
On -genericity of distributional chaos ⋮ The life and mathematics of Jaroslav Smítal ⋮ Embedding Toeplitz systems in triangular maps: the last but one problem of the Sharkovsky classification program ⋮ A minimal DC1 system ⋮ Minimal subsystems of triangular maps of type \(2^\infty\); conclusion of the sharkovsky classification program ⋮ Distributionally scrambled set and minimal set ⋮ CHAOS ON ONE-DIMENSIONAL COMPACT METRIC SPACES ⋮ Minimal systems and distributionally scrambled sets ⋮ Sharkovsky's program for the classification of triangular maps is almost completed ⋮ A type of shadowing and distributional chaos
Cites Work
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- Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
- Dynamical systems disjoint from any minimal system
- Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
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