Work

Fractal Structures of Normal and Anomalous Diffusion in Nonlinear Nonhyperbolic Dynamical Systems

Year: 2002

Type: article

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.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.89.214102

Authors: N. Korabel, R. Klages

Institutions: Max Planck Society, Max Planck Institute for the Physics of Complex Systems

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2045052007

FWCI: 4.31

Cites: 50

Cited by: 37

Related to: 10