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Linking and the Shadowing Property for Piecewise Monotone Maps

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Publication:3974472
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DOI10.2307/2048466zbMath0746.58056OpenAlexW4235251679MaRDI QIDQ3974472

Liang Chen

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2048466


zbMATH Keywords

shadowing propertypiecewise monotone mapslinking property


Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)


Related Items (5)

Shadowing, asymptotic shadowing and s-limit shadowing ⋮ Shadowing is generic -- a continuous map case ⋮ Shadowing Property of Continuous Maps with Zero Topological Entropy ⋮ On entropy of \(\Phi\)-irregular and \(\Phi\)-level sets in maps with the shadowing property ⋮ Shadowing Property for Inverse Limit Spaces



Cites Work

  • Iterates of piecewise monotone mappings on an interval
  • Hyperbolicity and chain recurrence
  • Transitivity and the centre for maps of the circle
  • Pseudo-Orbit Shadowing in the Family of Tent Maps
  • Topological Conjugacy and Transitivity for a Class of Piecewise Monotone Maps of the Interval
  • Symbolic Dynamics and Transformations of the Unit Interval
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