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, P. Cvitanovic, Arkady Pikovsky, 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