Deterministic diffusion in one-dimensional maps - Calculation of diffusion constants by harmonic inversion of periodic orbit sums
arXiv:nlin/0111057 · doi:10.1016/S0375-9601(01)00785-X
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.
10 pages, 2 figures, accepted for publication in Phys. Lett. A