Influence of noise on dynamics with fractal Fourier spectra

Michael A. Zaks

Physica A: Statistical Mechanics and its Applications, 2002, vol. 310, issue 3, 285-307

Abstract: In deterministic dynamics, the processes with fractal power spectra occupy the intermediate position between ordered and chaotic temporal behavior. We study numerically the influence of different kinds of noise upon these processes. In general, under the action of noise the spectral measure becomes absolutely continuous and the correlations decay. However, during the certain intermediate period the autocorrelation retains the pattern which is typical for dynamics with fractal spectra. Duration of this period is related to the noise intensity by the power law.

Keywords: Singular continuous spectrum; Autocorrelation (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:310:y:2002:i:3:p:285-307

DOI: 10.1016/S0378-4371(02)00734-3

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