2003/08/31 by Fabio Benatti, F. Benatti, V. Cappellini +3 · 1 citation
Mathematics · Physics and Astronomy · #Chaos control and synchronization #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math-ph #math.MP #msc:37D20 #msc:65P20 #msc:81Q99 #nlin.CD #quant-ph
paper · pdf · doi:10.1088/0305-4470/37/1/007
published as J. Phys. A: Math. Gen., Vol. 37 Num. 1 (9 January 2004) 105-130 · LaTeX, 37 pages, 12 figures; v2: Corrected typos
arxiv created 2003/12/09 · openalex publication_date 2003/12/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss certain analogies between quantization and discretization of classical systems on manifolds. In particular, we will apply the quantum dynamical entropy of Alicki and Fannes to numerically study the footprints of chaos in discretized versions of hyperbolic maps on the torus.