Continuity of the maps \(f\mapsto\bigcup_{x\in I}\omega(x,f)\) and \(f\mapsto\{\omega(x,f):x\in I\}\)
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Publication:884199
DOI10.1155/IJMMS/2006/82623zbMath1130.37364MaRDI QIDQ884199
Publication date: 13 June 2007
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
Related Items (2)
A characterization of attractors for Baire functions on the interval ⋮ The persistence of \(\omega\)-limit sets defined on compact spaces
Cites Work
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- The structure of \(\omega\)-limit sets for continuous functions
- Chaos in terms of the map \(x\to\omega(x,f)\)
- Dynamics in one dimension
- Stability in the family of \(\omega \)-limit sets of continuous maps of the interval
- The persistence of \(\omega\)-limit sets under perturbation of the generating function.
- An \(\omega \)-limit set for a Lipschitz function with zero topological entropy
- Characterizations of Weakly Chaotic Maps of the Interval
- A Characterization of Nonchaotic Continuous Maps of the Interval Stable Under Small Perturbations
- Stability of dynamical structures under perturbation of the generating function
- Chaotic Functions with Zero Topological Entropy
- Periodic and Limit Orbits and the Depth of the Center for Piecewise Monotone Interval Maps
- The structure of $\omega$-limit sets for continuous maps of the interval
- A 𝐶¹ function for which the 𝜔-limit points are not contained in the closure of the periodic points
- The space of $\omega $-limit sets of a continuous map of the interval
- Density of periodic orbits in \(\omega \)-limit sets with the Hausdorff metric
- Iterative stability in the class of continuous functions
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