Title

Spectral Analysis and Generation of Certain Highly Oscillatory Curves Related to Chaos

Publication Date

1-1-2012

Document Type

Article

Comments

Chen G, Mariani MC, SenGupta I, Mai N. Spectral analysis and generation of certain highly oscillatory curves related to chaos. Physica A: Statistical Mechanics and its Applications 2012 15 February 2012;391(4):1453-68.

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.

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