Chaos on hyperspaces
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Publication:1021689
DOI10.1016/j.na.2008.10.055zbMath1175.37024OpenAlexW2042690431MaRDI QIDQ1021689
Dominik Kwietniak, Juan Luis García Guirao, Marek Lampart, Piotr Oprocha, Alfred Peris Manguillot
Publication date: 9 June 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2008.10.055
Hyperspaces in general topology (54B20) Dynamical systems involving maps of the circle (37E10) Iteration theory, iterative and composite equations (39B12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40)
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Cites Work
- Devaney's chaotic on induced maps of hyperspace
- Exact Devaney chaos and entropy
- Topological dynamics of transformations induced on the space of probability measures
- Ergodic theory on compact spaces
- A note on transitivity in set-valued discrete systems.
- Distributional chaos for triangular maps
- The three versions of distributional chaos
- Chaos for induced hyperspace maps
- Li and Yorke chaos with respect to the cardinality of the scrambled sets
- Set-valued discrete chaos
- Topological entropy and chaos for maps induced on hyperspaces
- Various notions of chaos for discrete dynamical systems. A brief survey
- ω-Chaos and Topological Entropy
- On Devaney's Definition of Chaos
- Period Three Implies Chaos
- Sensitive dependence on initial conditions
- Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
- Topological complexity
- Quasi-Factors of Zero Entropy Systems
- Topological Entropy
- Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
- Periodic Points and Measures for Axiom a Diffeomorphisms
- Entropy for Group Endomorphisms and Homogeneous Spaces
- LI-Yorke sensitivity and other concepts of chaos
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