Cycle expansion for power spectrum

P. Cvitanovic; Arkady Pikovsky

doi:10.1117/12.162683

18 November 1993 Cycle expansion for power spectrum

P. Cvitanovic, Arkady Pikovsky

Proceedings Volume 2038, Chaos in Communications; (1993) https://doi.org/10.1117/12.162683
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

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.

Citation Download Citation

P. Cvitanovic and Arkady Pikovsky "Cycle expansion for power spectrum", Proc. SPIE 2038, Chaos in Communications, (18 November 1993); https://doi.org/10.1117/12.162683

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