Spectral analysis and generation of certain highly oscillatory curves related to chaos

Highly oscillatory phenomena are omnipresent in applications. Two important underlying sources are stochastic fluctuations and deterministic randomness. In this paper, we will present heuristics, theorems, and a few illustrations on the Fourier spectrum and deterministic random time series, based upon our understanding of certain rapid oscillations in chaos.

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Year of publication:	2012
Authors:	Chen, Goong ; Mariani, Maria Christina ; SenGupta, Indranil ; Mai, Nicholas
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 391.2012, 4, p. 1453-1468
Publisher:	Elsevier
Subject:	Highly oscillatory curves \| Oscillation and chaos \| Fourier analysis \| Wavelet \| Curve fitting

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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