Self-similarity in inverse limit spaces of the tent family

DOI10.1090/S0002-9939-96-03690-8zbMath0917.54041OpenAlexW1702388819MaRDI QIDQ3837592

Beverly Diamond, Karen M. Brucks, Marcy M. Barge

Publication date: 10 December 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03690-8

zbMATH Keywords

tent mapHénon familyone-parameter family of inverse limit spaces

Mathematics Subject Classification ID

Related Items (16)

A classification of inverse limit spaces of tent maps with finite critical orbit ⋮ Homeomorphisms of unimodal inverse limit spaces with a non-recurrent critical point ⋮ Inverse limits and an implicitly defined difference equation from economics ⋮ Inverse limit spaces arising from problems in economics ⋮ The Ingram conjecture ⋮ Typical path components in tent map inverse limits ⋮ The structure of synchronization sets for noninvertible systems ⋮ The inverse limits approach to chaos ⋮ Uncountably many planar embeddings of unimodal inverse limit spaces ⋮ Inhomogeneities in chainable continua ⋮ A partial classification of inverse limit spaces of tent maps with periodic critical points ⋮ Natural extensions of unimodal maps: virtual sphere homeomorphisms and prime ends of basin boundaries ⋮ Folding points of unimodal inverse limit spaces ⋮ Statistical stability for Barge-Martin attractors derived from tent maps ⋮ A classification of inverse limit spaces of tent maps with a nonrecurrent critical point ⋮ Inverse limits of Markov interval maps

Cites Work

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• Monotonicity of auto-expansions
• One-dimensional non-wandering sets
• Pseudo-Orbit Shadowing in the Family of Tent Maps
• 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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