Inverse limits of Markov interval maps

DOI10.1016/S0166-8641(01)00209-7zbMath1010.37020OpenAlexW1984952592MaRDI QIDQ1862021

Sarah E. Holte

Publication date: 10 March 2003

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(01)00209-7

zbMATH Keywords

attractorMarkov mapkneading sequencecontinuainverse limit space

Mathematics Subject Classification ID

Continua and generalizations (54F15) Ergodic theorems, spectral theory, Markov operators (37A30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Continua theory in dynamics (37B45) Dynamical systems involving maps of the interval (37E05)

Related Items (10)

Inverse limits and full families ⋮ Markov set-valued functions and their inverse limits ⋮ Δ-related functions and generalized inverse limits ⋮ Inverse limits with countably Markov interval functions ⋮ Topological entropy of Markov set-valued functions ⋮ Markov-like set-valued functions on intervals and their inverse limits ⋮ Markov-like set-valued functions on finite graphs and their inverse limits ⋮ Inverse limits with Markov-type functions ⋮ Inverse limit spaces of infinitely renormalizable maps ⋮ Inverse limits with generalized Markov interval functions

Cites Work

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• Generalized horseshoe maps and inverse limits
• Horseshoe maps and inverse limits
• On the abundance of aperiodic behaviour for maps on the interval
• Inverse limit spaces of infinitely renormalizable maps
• Inverse limits associated with the forced van der Pol equation
• Full attracting sets of annulus maps which are inverse limits of circles
• Inverse limits of certain interval mappings as attractors in two dimensions
• Embedding inverse limits interval maps as attractors
• Self-similarity in inverse limit spaces of the tent family
• Diffeomorphisms Obtained from Endomorphisms
• Nearly one-dimensional Henon attractors and inverse limits
• Embedding inverse limits of nearly Markov interval maps as attracting sets of planar diffeomorphisms
• Some applications of an approximation theorem for inverse limits

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