2022/12/09 by Ibragim Aslanovich Tlyustangelov, Tlyustangelov, Ibragim A.
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Nonlinear Waves and Solitons #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2212.04758
In this paper we prove in detail a criterion for an algebraic continued fraction to have a proper palindromic symmetry in dimension 4. We also present a new proof of the criterion for an algebraic continued fraction to have a proper cyclic palindromic symmetry in dimension 4. As a multidimensional generalization of continued fractions, we consider Klein polyhedra.