On the maximal invariant set for the map x2 – 2 restricted to intervals

DOI10.22199/ISSN.0717-6279-2021-02-0018zbMath1490.37049OpenAlexW3129582226MaRDI QIDQ5027717

Carlos Gustavo T.de A. Moreira, Dušan Bednařík, Pavel Trojovský, Diego Marques

Publication date: 7 February 2022

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-2021-02-0018

zbMATH Keywords

chaosunimodal mapsmaximal invariantquadratic mapstent maps

Mathematics Subject Classification ID

Iteration of real functions in one variable (26A18) Dynamical systems involving maps of the interval (37E05)

Cites Work

• Unnamed Item
• Dynamics in one dimension
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• Maximal invariant sets for restrictions of tent and unimodal maps
• Chaos, Cantor Sets, and Hyperbolicity for the Logistic Maps
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Controlling intermediate dynamics in a family of quadratic maps

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