Maximal words connected with unimodal maps
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Publication:1110551
DOI10.1007/BF00714477zbMath0657.06014MaRDI QIDQ1110551
Gilbert Helmberg, Lichiang Sun
Publication date: 1988
Published in: Order (Search for Journal in Brave)
kneading sequencesmaximality of a wordOrbits under a unimodal functionspace of admissible wordssymbolic orbits
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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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