357 citations · 1.3k across the 53 of their papers we have counts for
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Fractality of deterministic diffusion in the nonhyperbolic climbing sine map
N. Korabel, R. Klages
The nonlinear climbing sine map is a nonhyperbolic dynamical system exhibiting both normal and anomalous diffusion under variation of a control parameter. We show that on a suitabl…
Negative and Nonlinear Response in an Exactly Solved Dynamical Model of Particle Transport
J. Groeneveld, R. Klages
We consider a simple model of particle transport on the line defined by a dynamical map F satisfying F(x+1) = 1 + F(x) for all x in R and F(x) = ax + b for |x| < 0.5. Its two param…
Fractal structures of normal and anomalous diffusion in nonlinear nonhyperbolic dynamical systems
N. Korabel, R. Klages
A paradigmatic nonhyperbolic dynamical system exhibiting deterministic diffusion is the smooth nonlinear climbing sine map. We find that this map generates fractal hierarchies of n…
Deterministic diffusion in flower shape billiards
Takahisa Harayama, Rainer Klages, Pierre Gaspard
We propose a flower shape billiard in order to study the irregular parameter dependence of chaotic normal diffusion. Our model is an open system consisting of periodically distribu…