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.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2019
- DOI:
- 10.48550/arXiv.1902.00209
- arXiv:
- arXiv:1902.00209
- Bibcode:
- 2019arXiv190200209G
- Keywords:
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- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- 17 pages, 2 figures, prepared for the special topic "Mathematical Modelling" of AIMS Mathematics