A heuristic method for identifying chaos from frequency content


Journal Article

The sign of the largest Lyapunov exponent is the fundamental indicator of chaos in a dynamical system. However, although the extraction of Lyapunov exponents can be accomplished with (necessarily noisy) the experimental data, this is still a relatively data-intensive and sensitive endeavor. This paper presents an alternative pragmatic approach to identifying chaos using response frequency characteristics and extending the concept of the spectrogram. The method is shown to work well on both experimental and simulated time series. © 2012 American Institute of Physics.

Full Text

Duke Authors

Cited Authors

  • Wiebe, R; Virgin, LN

Published Date

  • January 3, 2012

Published In

Volume / Issue

  • 22 / 1

International Standard Serial Number (ISSN)

  • 1054-1500

Digital Object Identifier (DOI)

  • 10.1063/1.3675624

Citation Source

  • Scopus