An examination of initial condition maps for the sinusoidally excited buckled beam modeled by the Duffing's equation
Publication
, Journal Article
Pezeshki, C; Dowell, EH
Published in: Journal of Sound and Vibration
September 8, 1987
The initial condition problem is studied for the dynamics of the buckled beam by using the forced Holmes-Duffing's equation, in an attempt to understand the route to chaos. Earlier results generated by Moon [1] for different parameter values are reconsidered, and new techniques are used in order to understand more of the global behavior of the system. In particular, fractal basin boundaries are determined for two types of basins of attraction. These are correlated with previous results to help provide an explanation for observed chaotic system behavior. © 1987.
Duke Scholars
Published In
Journal of Sound and Vibration
DOI
EISSN
1095-8568
ISSN
0022-460X
Publication Date
September 8, 1987
Volume
117
Issue
2
Start / End Page
219 / 232
Related Subject Headings
- Acoustics
- 51 Physical sciences
- 40 Engineering
- 09 Engineering
- 02 Physical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Pezeshki, C., & Dowell, E. H. (1987). An examination of initial condition maps for the sinusoidally excited buckled beam modeled by the Duffing's equation. Journal of Sound and Vibration, 117(2), 219–232. https://doi.org/10.1016/0022-460X(87)90535-9
Pezeshki, C., and E. H. Dowell. “An examination of initial condition maps for the sinusoidally excited buckled beam modeled by the Duffing's equation.” Journal of Sound and Vibration 117, no. 2 (September 8, 1987): 219–32. https://doi.org/10.1016/0022-460X(87)90535-9.
Pezeshki C, Dowell EH. An examination of initial condition maps for the sinusoidally excited buckled beam modeled by the Duffing's equation. Journal of Sound and Vibration. 1987 Sep 8;117(2):219–32.
Pezeshki, C., and E. H. Dowell. “An examination of initial condition maps for the sinusoidally excited buckled beam modeled by the Duffing's equation.” Journal of Sound and Vibration, vol. 117, no. 2, Sept. 1987, pp. 219–32. Scopus, doi:10.1016/0022-460X(87)90535-9.
Pezeshki C, Dowell EH. An examination of initial condition maps for the sinusoidally excited buckled beam modeled by the Duffing's equation. Journal of Sound and Vibration. 1987 Sep 8;117(2):219–232.
Published In
Journal of Sound and Vibration
DOI
EISSN
1095-8568
ISSN
0022-460X
Publication Date
September 8, 1987
Volume
117
Issue
2
Start / End Page
219 / 232
Related Subject Headings
- Acoustics
- 51 Physical sciences
- 40 Engineering
- 09 Engineering
- 02 Physical Sciences