Fractality of deterministic diffusion in the nonhyperbolic climbing sine map

DOI10.1016/S0167-2789(03)00231-8zbMath1098.82600arXivnlin/0211012OpenAlexW2106606518MaRDI QIDQ595979

Rainer Klages, Nickolay Korabel

Publication date: 10 August 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0211012

zbMATH Keywords

diffusion coefficientAnomalous diffusionDeterministic diffusionFractalNonhyperbolic mapsPeriodic windows

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical systems involving maps of the interval (37E05) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (7)

Asymptotic expansions for the escape rate of stochastically perturbed unimodal maps ⋮ A simple non-chaotic map generating subdiffusive, diffusive, and superdiffusive dynamics ⋮ Phase correlations in chaotic dynamics: a Shannon entropy measure ⋮ CHAOTIC DIFFUSION IN MULTIDIMENSIONAL CONSERVATIVE MAPS ⋮ Dependence of chaotic diffusion on the size and position of holes ⋮ The Shannon entropy as a measure of diffusion in multidimensional dynamical systems ⋮ Deterministic diffusion

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