On formal languages in one-dimensional dynamical systems

DOI10.1088/0951-7715/6/6/009zbMath0803.68064OpenAlexW1988848906MaRDI QIDQ4290073

Huimin Xie

Publication date: 2 January 1995

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/6/6/009

zbMATH Keywords

dynamical systemsformal languagesunimodal mapskneading sequencesFeigenbaum attractorminimal deterministic finite automaton

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Automata and formal grammars in connection with logical questions (03D05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (5)

Entropy invariants. I: The universal order relation of order-preserving star products. ⋮ Entropy invariants. II: The block structure of Stefan matrices. ⋮ Grammatical complexity of one-dimensional maps with multiple monotone intervals ⋮ Multiformity of inherent randomicity and visitation density in \(n\) symbolic dynamics ⋮ Inherent randomicity in 4-symbolic dynamics

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