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Proceedings Paper

Cycle expansion for power spectrum
Author(s): P. Cvitanovic; Arkady Pikovsky
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Paper 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.

Paper Details

Date Published: 18 November 1993
PDF: 9 pages
Proc. SPIE 2038, Chaos in Communications, (18 November 1993); doi: 10.1117/12.162683
Show Author Affiliations
P. Cvitanovic, Niels Bohr Institute (Denmark)
Arkady Pikovsky, Niels Bohr Institute and Univ. Potsdam (Germany)

Published in SPIE Proceedings Vol. 2038:
Chaos in Communications
Louis M. Pecora, Editor(s)

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