About topological conjugacy of quadratic maps in unbounded domains
Abstract
Pairwise topological conjugacy in some unbounded domains of the plane R2 of the quadratic map F(x, y) = xy, (x − 2)2 , the Lotka-Volterra map L(x, y) = (x(4 − x − y), xy) and the map H(x, y) = (y2, xy − 2x + 2), which arises in studying of the reflection and transmission coefficients of a plane wave with a given momentum in the field of a quasicrystalline lattice is proved in this paper. Using previous author’s results on the wandering points of the map F and the result of the paper we give a description of the set of wandering points of the maps L and H.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Advanced Differential Equations and Dynamical Systems
Advanced Topology and Set Theory
Publication details
- Journal / source
- Mathematics and Theoretical Computer Science
- Volume
- 4
- Issue
- 4
- Pages
- 4–18
- Publication date
- 5 February 2026