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

K. Weibert; J. Main; G. Wunner

doi:10.1016/s0375-9601(01)00785-x

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

K. Weibert·J. Main·G. Wunner

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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.

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K. Weibert, J. Main, G. Wunner. 2001-11-26. Deterministic diffusion in one-dimensional maps - Calculation of diffusion constants by harmonic inversion of periodic orbit sums. https://doi.org/10.1016/s0375-9601(01)00785-x

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