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• W2045052007 abstract "A paradigmatic nonhyperbolic dynamical system exhibiting deterministic diffusion is the smooth nonlinear climbing sine map. We find that this map generates fractal hierarchies of normal and anomalous diffusive regions as functions of the control parameter. The measure of these self-similar sets is positive, parameter-dependent, and in case of normal diffusion it shows a fractal diffusion coefficient. By using a Green-Kubo formula we link these fractal structures to the nonlinear microscopic dynamics in terms of fractal Takagi-like functions." @default.
• W2045052007 created "2016-06-24" @default.
• W2045052007 creator A5001687115 @default.
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• W2045052007 date "2002-11-04" @default.
• W2045052007 modified "2023-09-26" @default.
• W2045052007 title "Fractal Structures of Normal and Anomalous Diffusion in Nonlinear Nonhyperbolic Dynamical Systems" @default.
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• W2045052007 doi "https://doi.org/10.1103/physrevlett.89.214102" @default.
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