Shadowing and -limit sets of circular Julia sets
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Publication:5262255
DOI10.1017/ETDS.2013.94zbMath1338.37060OpenAlexW3098563548WikidataQ121363925 ScholiaQ121363925MaRDI QIDQ5262255
Andrew D. Barwell, Jonathan Meddaugh, Brian E. Raines
Publication date: 13 July 2015
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/etds.2013.94
Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)
Related Items (11)
Ultrafilters and Ramsey-type shadowing phenomena in topological dynamics ⋮ A characterization of \(\omega \)-limit sets in subshifts of Baire space ⋮ Shadowing, internal chain transitivity and \(\alpha \)-limit sets ⋮ Unnamed Item ⋮ Expansivity and unique shadowing ⋮ Orbital shadowing, internal chain transitivity and -limit sets ⋮ On genericity of shadowing in one dimension ⋮ Preservation of shadowing in discrete dynamical systems ⋮ On inverse shadowing ⋮ Weak specification and Baire space ⋮ Distributional chaos in dendritic and circular Julia sets
Cites Work
- Julia sets and periodic kneading sequences
- Invariant factors, Julia equivalences and the (abstract) Mandelbrot set
- Characterizations of \(\omega\)-limit sets in topologically hyperbolic systems
- Continuous itinerary functions and dendrite maps
- A characterization ofω-limit sets in shift spaces
- A characterization of ω-limit sets for piecewise monotone maps of the interval
- On the ω-limit sets of tent maps
- Chain transitivity, attractivity, and strong repellors for semidynamical systems
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