Generalized Specification Property and Distributional Chaos
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Publication:4653854
DOI10.1142/S0218127403007539zbMath1056.37006OpenAlexW2037789965MaRDI QIDQ4653854
Abe Sklar, Jaroslav Smítal, Berthold Schweizer, Francisco Balibrea
Publication date: 8 March 2005
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127403007539
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 (9)
Stability of the distribution function for piecewise monotonic maps on the interval ⋮ Generalized specification property and distributionally scrambled sets ⋮ The life and mathematics of Jaroslav Smítal ⋮ Distributional chaos on compact metric spaces via specification properties ⋮ Minimal systems and distributionally scrambled sets ⋮ The genesis of the notion of distributional chaos ⋮ Invariant scrambled sets and distributional chaos ⋮ Distributional chaos revisited ⋮ Shift spaces, \(\omega \)-chaos and specification property
Cites Work
- Ergodic theory on compact spaces
- A chaotic continuous map generates all probability distributions
- Distributional chaos on compact metric spaces via specification properties
- Generic properties of invariant measures for Axiom A diffeomorphisms
- Dynamics of homeomorphisms on minimal sets generated by triangular mappings
- Specification on the interval
- The space of $\omega $-limit sets of a continuous map of the interval
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