Shadowing is generic on various one-dimensional continua with a special geometric structure

DOI10.1007/s12220-019-00280-6zbMath1456.37026OpenAlexW2976849251WikidataQ127199582 ScholiaQ127199582MaRDI QIDQ1985333

Marcin Mazur, Piotr Oprocha, Piotr Kościelniak, Łukasz Kubica

Publication date: 7 April 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-019-00280-6

zbMATH Keywords

graphcontinuous maplimit shadowinginverse shadowingchainable continuumperiodic shadowingdendritetpseudorbit

Mathematics Subject Classification ID

Continuous maps (54C05) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Continua theory in dynamics (37B45) Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

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On -genericity of distributional chaos ⋮ S-limit shadowing is generic for continuous Lebesgue measure-preserving circle maps ⋮ Typical properties of interval maps preserving the Lebesgue measure ^* ⋮ On genericity of shadowing in one dimension ⋮ Periodic points and shadowing for generic Lebesgue measure-preserving interval maps ⋮ Scrambled sets and chain recurrence points of generic graph maps

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