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Coarse-grained entropy and information dimension of dynamical systems: The driven Lorentz gas

par Matyas, Laszlo ;Tél, Tamás;Vollmer, Jürgen
Référence Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 69, 1 2, page (162051-162058), 016205
Publication Publié, 2004-01

Article révisé par les pairs

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Résumé :

The resolution dependence of the steady-state saturation values of coarse-grained entropies characterizing general dynamical systems is discussed. They are proportional to the information codimension of the chaotic attractor for dissipative maps. It is found that they provide a highly accurate method for determining the information dimension of the dynamical system. Results for the field-driven Lorentz gas are also demonstrated.