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

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. 2011 Elsevier B.V. All rights reserved.

authors

• Chen, Goong

published proceedings

• PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

altmetric score

• 1

author list (cited authors)

• Chen, G., Mariani, M. C., SenGupta, I., & Mai, N.

citation count

• 1

complete list of authors

• Chen, Goong||Mariani, Maria Christina||SenGupta, Indranil||Mai, Nicholas

publication date

• February 2012

publisher

• Elsevier  Publisher

published in

• Physica A: Statistical Mechanics and its Applications  Journal

keywords

• Curve Fitting
• Fourier Analysis
• Highly Oscillatory Curves
• Oscillation And Chaos
• Wavelet

Digital Object Identifier (DOI)

• 10.1016/j.physa.2011.11.013

start page

• 1453

end page

• 1468

volume

• 391

issue

• 4

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.physa.2011.11.013