Deterministic diffusion in one-dimensional maps - Calculation of diffusion constants by harmonic inversion of periodic orbit sums
Chaotic Dynamics
2009-11-07 v1
Abstract
A method is proposed for the calculation of diffusion constants for one-dimensional maps exhibiting deterministic diffusion. The procedure is based on harmonic inversion and uses a known relation between the diffusion constant and the periodic orbits of a map. The method is tested on an example map for which results calculated by different other techniques are available for comparison.
Keywords
Cite
@article{arxiv.nlin/0111057,
title = {Deterministic diffusion in one-dimensional maps - Calculation of diffusion constants by harmonic inversion of periodic orbit sums},
author = {K. Weibert and J. Main and G. Wunner},
journal= {arXiv preprint arXiv:nlin/0111057},
year = {2009}
}
Comments
10 pages, 2 figures, accepted for publication in Phys. Lett. A