18 November 1993 Cycle expansion for power spectrum
Author Affiliations +
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.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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

Back to Top