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.

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

References in corpus (3)

• Scaling behaviour of non-hyperbolic coupled map lattices
• Scaling properties of invariant densities of coupled Tchebyscheff maps
• Lorentz and SU(3) groups derived from cubic quark algebra