A first approach to the Galois group of chaotic chains

Abstract

We explain in detail the definition, construction and generalisation of the Galois group of Chebyshev polynomials of high degree to the Galois group of chaotic chains. The calculations in this paper are performed for Chebyshev polynomials and chaotic chains of degree $N=2$. Insides into possible further steps are given.

arXiv comment17 pages, 2 figures, prepared for the special topic "Mathematical Modelling" of AIMS Mathematics

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