MSS sequences, colorings of necklaces, and periodic points of \(f(z)=z^ 2-2\)

DOI10.1016/0196-8858(87)90020-0zbMath0641.05004OpenAlexW1989756488MaRDI QIDQ1100468

Karen M. Brucks

Publication date: 1987

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(87)90020-0

zbMATH Keywords

orbitsperiodic pointnecklaceMSS sequences

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Permutations, words, matrices (05A05) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (17)

Counting the number of periods in one-dimensional maps with multiple critical points ⋮ On word equations originated from discrete dynamical systems related to antisymmetric cubic maps with some applications ⋮ A chaotic lattice field theory in one dimension* ⋮ Some combinatorial properties of words in discrete dynamical systems from antisymmetric cubic maps ⋮ Witt vectors and the field with one element ⋮ Algorithms for producing and ordering lexical and nonlexical sequences out of one element ⋮ Classification of all cycles of the parabolic map ⋮ Counting orbits in conjugacy classes of the Hénon Hamiltonian repeller ⋮ 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 ⋮ Witt vectors. Part 1 ⋮ What is the effective impact of the explosive orbital growth in discrete-time one-dimensional polynomial dynamical systems? ⋮ Hausdorff dimension and measure of basin boundaries ⋮ Adjacency and parity relations of words in discrete dynamical systems ⋮ Uniqueness of Aperiodic Kneading Sequences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetry types of periodic sequences
• Maximal words connected with unimodal maps
• Shift-maximal sequences in function iteration: Existence, uniqueness and multiplicity
• On the abundance of aperiodic behaviour for maps on the interval
• On finite limit sets for transformations on the unit interval

This page was built for publication: MSS sequences, colorings of necklaces, and periodic points of \(f(z)=z^ 2-2\)