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Название: Trace Maps as 3D Reversible Dynamical Systems with an Invariant
Авторы: Roberts J.A.G., Baake M.
One link between the theory of quasicrystals and the theory of nonlinear dynamics is provided by the study of so-called trace maps. A subclass of them are mappings on a one-parameter family of 2D surfaces that foliate R^3 (and also C^3). They are derived from transfer matrix approaches to properties of ID quasicrystals. In this article, we consider various dynamical properties of trace maps.