18 November 1993 Cycle expansion for power spectrum
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Abstract
A cycle expansion method is applied to the calculation of a power spectrum of chaotic one- dimensional maps. It is shown that the broad-band part of the spectrum can be represented as a diffusion constant of some auxiliary process, and this constant is then represented in terms of periodic orbits. Accuracy of the method is also considered.
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P. Cvitanovic, Arkady Pikovsky, "Cycle expansion for power spectrum", Proc. SPIE 2038, Chaos in Communications, (18 November 1993); doi: 10.1117/12.162683; https://doi.org/10.1117/12.162683
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