Maximal words connected with unimodal maps

DOI10.1007/BF00714477zbMath0657.06014MaRDI QIDQ1110551

Gilbert Helmberg, Lichiang Sun

Publication date: 1988

Published in: Order (Search for Journal in Brave)

zbMATH Keywords

kneading sequencesmaximality of a wordOrbits under a unimodal functionspace of admissible wordssymbolic orbits

Mathematics Subject Classification ID

Related Items (11)

On word equations originated from discrete dynamical systems related to antisymmetric cubic maps with some applications ⋮ MSS sequences, colorings of necklaces, and periodic points of \(f(z)=z^ 2-2\) ⋮ Some combinatorial properties of words in discrete dynamical systems from antisymmetric cubic maps ⋮ Algorithms for producing and ordering lexical and nonlexical sequences out of one element ⋮ Classification of all cycles of the parabolic map ⋮ Conway numbers and iteration theory ⋮ Necklaces, MSS sequences, and DNA sequences ⋮ Combinatorics on words in symbolic dynamics: The antisymmetric cubic map ⋮ Combinatorics on words in symbolic dynamics: The quadratic map ⋮ Problems in combinatorics on words originating from discrete dynamical systems ⋮ Adjacency and parity relations of words in discrete dynamical systems

Cites Work

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• Symmetry types of periodic sequences
• Sensitive dependence to initial conditions for one dimensional maps
• Bifurcations in one dimension. I. The nonwandering set
• On finite limit sets for transformations on the unit interval
• Universal metric properties of bifurcations of endomorphisms
• Periodic Orbits and Kneading Invariants
• The Periodic Orbits and Entropy of Certain Maps of the Unit Interval
• Period Three Implies Chaos

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