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
APA
Chicago
ICMJE
MLA
NLM
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