Shadowing for induced maps of hyperspaces
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Publication:2833664
DOI10.4064/fm136-2-2016zbMath1375.37074OpenAlexW2470675983MaRDI QIDQ2833664
Leobardo Fernández, Chris Good
Publication date: 18 November 2016
Published in: Fundamenta Mathematicae (Search for Journal in Brave)
Full work available at URL: http://pure-oai.bham.ac.uk/ws/files/27706432/ShadowingInHyper_fund_math_final.pdf
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Related Items (15)
Weak stability of non-autonomous discrete dynamical systems ⋮ Dynamics of induced maps on the space of probability measures ⋮ Unnamed Item ⋮ Almost minimal systems and periodicity in hyperspaces ⋮ What is topological about topological dynamics? ⋮ Induced dynamics in hyperspaces of non-autonomous discrete systems ⋮ Induced dynamics of nonautonomous dynamical systems ⋮ Shadowing, topological entropy and recurrence of induced Morse-Smale diffeomorphism ⋮ Unnamed Item ⋮ ON THE DENSITY OF VARIOUS SHADOWING PROPERTIES ⋮ Expansivity and unique shadowing ⋮ Unnamed Item ⋮ Uniformly positive entropy of induced transformations ⋮ Preservation of shadowing in discrete dynamical systems ⋮ On inverse shadowing
Cites Work
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- Exact Devaney chaos and entropy
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- \(\omega\)-limit sets for axiom A diffeomorphisms
- Various shadowing properties for positively expansive maps
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- Approximate and real trajectories for generic dynamical systems
- Dynamical systems, measures, and fractals via domain theory
- Characterizations of \(\omega\)-limit sets in topologically hyperbolic systems
- Chaos for induced hyperspace maps
- Set-valued discrete chaos
- Topological entropy and chaos for maps induced on hyperspaces
- Shadowing and internal chain transitivity
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- Nonhyperbolic one-dimensional invariant sets with a countably infinite collection of inhomogeneities
- Pseudo-Orbit Shadowing in the Family of Tent Maps
- The Dynamics of Continuous Maps of Finite Graphs through Inverse Limits
- Quasi-Factors of Zero Entropy Systems
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