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

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.

altmetric score

  • 1

author list (cited authors)

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

citation count

  • 1

publication date

  • February 2012