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Measuring the stability of periodic attractors using perturbation-induced transients: applications to two non-linear oscillators

Publication ,  Journal Article
Murphy, KD; Bayly, PV; Virgin, LN; Gottwald, JA
Published in: Journal of Sound and Vibration
1994

In this paper a combined analytical, numerical and experimental approach is used to study the behavior of small, perturbation-induced transients superimposed on a periodic steady state. The behavior of these transients is monitored in terms of characteristic multipliers as a control parameter is changed and instability is approached. Two non-linear mechanical oscillators are used which exemplify the application of these concepts to physical systems.

Duke Scholars

Published In

Journal of Sound and Vibration

DOI

Publication Date

1994

Volume

172

Issue

1

Start / End Page

85 / 102

Related Subject Headings

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

Citation

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Murphy, K. D., Bayly, P. V., Virgin, L. N., & Gottwald, J. A. (1994). Measuring the stability of periodic attractors using perturbation-induced transients: applications to two non-linear oscillators. Journal of Sound and Vibration, 172(1), 85–102. https://doi.org/10.1006/jsvi.1994.1160
Murphy, K. D., P. V. Bayly, L. N. Virgin, and J. A. Gottwald. “Measuring the stability of periodic attractors using perturbation-induced transients: applications to two non-linear oscillators.” Journal of Sound and Vibration 172, no. 1 (1994): 85–102. https://doi.org/10.1006/jsvi.1994.1160.
Murphy KD, Bayly PV, Virgin LN, Gottwald JA. Measuring the stability of periodic attractors using perturbation-induced transients: applications to two non-linear oscillators. Journal of Sound and Vibration. 1994;172(1):85–102.
Murphy, K. D., et al. “Measuring the stability of periodic attractors using perturbation-induced transients: applications to two non-linear oscillators.” Journal of Sound and Vibration, vol. 172, no. 1, 1994, pp. 85–102. Manual, doi:10.1006/jsvi.1994.1160.
Murphy KD, Bayly PV, Virgin LN, Gottwald JA. Measuring the stability of periodic attractors using perturbation-induced transients: applications to two non-linear oscillators. Journal of Sound and Vibration. 1994;172(1):85–102.

Published In

Journal of Sound and Vibration

DOI

Publication Date

1994

Volume

172

Issue

1

Start / End Page

85 / 102

Related Subject Headings

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