A heuristic method for identifying chaos from frequency content.

Journal Article (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.

Full Text

Duke Authors

Cited Authors

  • Wiebe, R; Virgin, LN

Published Date

  • March 2012

Published In

Volume / Issue

  • 22 / 1

Start / End Page

  • 013136 -

PubMed ID

  • 22463012

Electronic International Standard Serial Number (EISSN)

  • 1089-7682

International Standard Serial Number (ISSN)

  • 1054-1500

Digital Object Identifier (DOI)

  • 10.1063/1.3675624


  • eng