2015/01/04 by L. Nizhnik, Nizhnik, L., I. Nizhnik +1
Mathematics · Physics and Astronomy · #37D50 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DS #msc:37D50
paper · pdf · doi:10.48550/arxiv.1501.00674
openalex publication_date 2015/01/04 · arxiv created 2015/01/28 · arxiv updated 2015/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the present paper, we give a series of definitions and properties of Lifting Dynamical Systems (LDS) corresponding to the notion of deterministic diffusion. We present heuristic explanations of the mechanism of formation of deterministic diffusion in LDS and the anomalous deterministic diffusion in the case of transportation in long billiard channels with spatially periodic structures. The expressions for the coefficient of deterministic diffusion are obtained.