On word equations originated from discrete dynamical systems related to antisymmetric cubic maps with some applications

DOI10.1007/S10114-018-6485-3zbMath1409.68223arXiv1610.04267OpenAlexW2594959164MaRDI QIDQ1633812

Elias Abboud

Publication date: 21 December 2018

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.04267

zbMATH Keywords

word equationparity-lexicographic orderprimitive wordbroken alternating wordgreatest word

Mathematics Subject Classification ID

Combinatorics on words (68R15) Permutations, words, matrices (05A05) Symbolic dynamics (37B10)

Cites Work

• 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
• 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
• MSS sequences, colorings of necklaces, and periodic points of \(f(z)=z^ 2-2\)
• Maximal words connected with unimodal maps
• Adjacency and parity relations of words in discrete dynamical systems
• Decomposition of necklaces
• Unnamed Item

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