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

Goong Chen, Maria Christina Mariani, Indranil SenGupta and Nicholas Mai

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 4, 1453-1468

Abstract: 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.

Keywords: Highly oscillatory curves; Oscillation and chaos; Fourier analysis; Wavelet; Curve fitting (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:4:p:1453-1468

DOI: 10.1016/j.physa.2011.11.013

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