On dynamics of families of equi-Baire one functions on metric spaces
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Publication:2104987
DOI10.1016/j.topol.2022.108267OpenAlexW4302009677MaRDI QIDQ2104987
Publication date: 8 December 2022
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2022.108267
Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Iteration of real functions in one variable (26A18) Classification of real functions; Baire classification of sets and functions (26A21)
Cites Work
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- On chain recurrent sets of typical bounded Baire one functions
- Chaos in terms of the map \(x\to\omega(x,f)\)
- Differentiation of real functions
- A counter example on common periodic points of functions
- On common fixed and periodic points of commuting functions
- On common fixed points, periodic points, and recurrent points of continuous functions
- Dynamics of typical Baire-1 functions on the interval
- Loops of intervals and Darboux Baire 1 fixed point problem
- The space of \(\omega\)-limit sets for Baire-1 functions on the interval
- Iterates of almost continuous functions and Sarkovskii's theorem
- On the set of fixed points and periodic points of continuously differentiable functions
- Dynamics of typical Baire-1 functions on a compact \({n}\)-manifold
- Equi-Baire one family of functions on metric spaces: a generalization of equi-continuity; and some applications
- On some generic small Cantor spaces
- The structure of \(\omega\)-limit sets of asymptotically non-autonomous discrete dynamical systems
- Dynamics of Baire-2 functions on the interval
- Attractors for classes of iterated function systems
- Chaotic behaviour of the map \(x\mapsto\omega(x,f)\)
- On fixed points, periodic points, and chian recurrent points of continuous functions
- An equivalent definition of functions of the first Baire class
- On Pawlak's problem concerning entropy of almost continuous functions
- Dynamics of Typical Continuous Functions
- Sharkovskiĭ's theorem holds for some discontinuous functions
- On the sets of fixed points of bounded Baire one functions
- The set of continuous functions with zero topological entropy
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