Detecting topological transitivity of piecewise monotone interval maps

DOI10.1016/J.TOPOL.2005.01.002zbMath1098.37033OpenAlexW2064985493MaRDI QIDQ818388

J. F. Alves, J. L. Fachada, José Sousa Ramos

Publication date: 20 March 2006

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2005.01.002

zbMATH Keywords

Topological entropyTopological transitivityInterval map

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (3)

TOPOLOGICAL ENTROPY IN THE SYNCHRONIZATION OF PIECEWISE LINEAR AND MONOTONE MAPS: COUPLED DUFFING OSCILLATORS ⋮ Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators ⋮ Invariant densities for piecewise linear maps of the unit interval

Cites Work

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• What you need to know to knead
• Kneading theory: a functorial approach
• Entropy of piecewise monotone mappings
• One-Dimensional Semiconjugacy Revisited
• On sensitive mappings of the interval
• Symbolic Dynamics and Transformations of the Unit Interval

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