A classification of inverse limit spaces of tent maps with finite critical orbit

DOI10.1016/j.topol.2007.03.003zbMath1115.37043OpenAlexW1974297117MaRDI QIDQ2371779

Sonja Štimac

Publication date: 9 July 2007

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

Full work available at URL: https://doi.org/10.1016/j.topol.2007.03.003

zbMATH Keywords

inverse limitcomposanttent mapfolding pointfolding pattern

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Continua theory in dynamics (37B45) Symbolic dynamics (37B10)

Cites Work

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• A partial classification of inverse limit spaces of tent maps with periodic critical points
• On the abundance of aperiodic behaviour for maps on the interval
• Planar embeddings of inverse limit spaces of unimodal maps
• Inverse limits on [0,1 using logistic bonding maps]
• Asymptotic arc-components of unimodal inverse limit spaces
• Self-similarity in inverse limit spaces of the tent family
• Composants of the horseshoe
• A classification of inverse limit spaces of tent maps with periodic critical points
• Periodicity and Indecomposability
• On the classification of inverse limits of tent maps
• Structure of inverse limit spaces of tent maps with finite critical orbit

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