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Empirical characteristic multiplier estimation: A comparison of methods and improvements

Publication ,  Journal Article
Turner, JD; Mann, BP
Published in: Journal of Sound and Vibration
October 27, 2021

Characteristic multipliers (CMs) describe the behavior, such as stability, of a dynamical system near a limit cycle. While existing methods are available to estimate CMs from time series measurements of the system's state, practical challenges such as measurement noise, limited time series length, and repeated CMs can substantially reduce their accuracy. This paper describes a number of simple-to-implement improvements to existing methods which can be combined into a new, superior method. Numerical validation studies demonstrate that the new method consistently provides more accurate CM estimates than existing methods in a variety of scenarios.

Duke Scholars

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

October 27, 2021

Volume

511

Related Subject Headings

  • Acoustics
  • 51 Physical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
 

Citation

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ICMJE
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Turner, J. D., & Mann, B. P. (2021). Empirical characteristic multiplier estimation: A comparison of methods and improvements. Journal of Sound and Vibration, 511. https://doi.org/10.1016/j.jsv.2021.116053
Turner, J. D., and B. P. Mann. “Empirical characteristic multiplier estimation: A comparison of methods and improvements.” Journal of Sound and Vibration 511 (October 27, 2021). https://doi.org/10.1016/j.jsv.2021.116053.
Turner JD, Mann BP. Empirical characteristic multiplier estimation: A comparison of methods and improvements. Journal of Sound and Vibration. 2021 Oct 27;511.
Turner, J. D., and B. P. Mann. “Empirical characteristic multiplier estimation: A comparison of methods and improvements.” Journal of Sound and Vibration, vol. 511, Oct. 2021. Scopus, doi:10.1016/j.jsv.2021.116053.
Turner JD, Mann BP. Empirical characteristic multiplier estimation: A comparison of methods and improvements. Journal of Sound and Vibration. 2021 Oct 27;511.
Journal cover image

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

October 27, 2021

Volume

511

Related Subject Headings

  • Acoustics
  • 51 Physical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences