# On Word Equations Originated from Discrete Dynamical Systems Related to Antisymmetric Cubic Maps with Some Applications

On Word Equations Originated from Discrete Dynamical Systems Related to Antisymmetric Cubic Maps... In this article, we solve some word equations originated from discrete dynamical systems related to antisymmetric cubic map. These equations emerge when we work with primitive and greatest words. In particular, we characterize all the cases for which $$< {\beta _1}{\bar \beta _1} > = < {\beta _2}{\bar \beta _2} >$$ < β 1 β ¯ 1 > = < β 2 β ¯ 2 > where β 1 and β 2 are the greatest words in ≪β 1≫ and ≪β 2≫ of M(n). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematica Sinica, English Series Springer Journals

# On Word Equations Originated from Discrete Dynamical Systems Related to Antisymmetric Cubic Maps with Some Applications

, Volume 34 (11) – May 7, 2018
14 pages

/lp/springer_journal/on-word-equations-originated-from-discrete-dynamical-systems-related-BXr8T1rOaz
Publisher
Springer Journals
Copyright © 2018 by Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag GmbH Germany, part of Springer Nature
Subject
Mathematics; Mathematics, general
ISSN
1439-8516
eISSN
1439-7617
D.O.I.
10.1007/s10114-018-6485-3
Publisher site
See Article on Publisher Site

### Abstract

In this article, we solve some word equations originated from discrete dynamical systems related to antisymmetric cubic map. These equations emerge when we work with primitive and greatest words. In particular, we characterize all the cases for which $$< {\beta _1}{\bar \beta _1} > = < {\beta _2}{\bar \beta _2} >$$ < β 1 β ¯ 1 > = < β 2 β ¯ 2 > where β 1 and β 2 are the greatest words in ≪β 1≫ and ≪β 2≫ of M(n).

### Journal

Acta Mathematica Sinica, English SeriesSpringer Journals

Published: May 7, 2018

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