Deterministic diffusion in one-dimensional maps - Calculation of diffusion constants by harmonic inversion of periodic orbit sums

Details Deterministic diffusion in one-dimensional maps - Calculation of diffusion constants by harmonic inversion of periodic orbit sums Deterministic diffusion in one-dimensional maps - Calculation of diffusion constants by harmonic inversion of periodic orbit sums

2001-11-26

arxiv.org/abs/nlin/0111057v1

Phys. Lett. A 292 (2001) 120

Nonlinear Sciences

Chaotic Dynamics

10 pages, 2 figures, accepted for publication in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(01)00785-X

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.

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