A parametrically forced nonlinear system with reversible equilibria
Publication
, Journal Article
Wiebe, R; Virgin, LN; Witelski, TP
Published in: International Journal of Bifurcation and Chaos
January 1, 2012
A nonlinear Duffing-type dynamical system, in which the stability of equilibria is modulated in a time-dependent manner, is investigated both experimentally and numerically. This is a low-order dynamical system with some interesting available choices in the coordinate system. The system is found to exhibit a variety of interesting nonlinear behavior including ultrasubharmonic resonance. Frequency content is used to characterize periodic and chaotic behavior and their relation to the parameter space. © 2012 World Scientific Publishing Company.
Duke Scholars
Published In
International Journal of Bifurcation and Chaos
DOI
ISSN
0218-1274
Publication Date
January 1, 2012
Volume
22
Issue
6
Related Subject Headings
- Fluids & Plasmas
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0913 Mechanical Engineering
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Wiebe, R., Virgin, L. N., & Witelski, T. P. (2012). A parametrically forced nonlinear system with reversible equilibria. International Journal of Bifurcation and Chaos, 22(6). https://doi.org/10.1142/S0218127412300200
Wiebe, R., L. N. Virgin, and T. P. Witelski. “A parametrically forced nonlinear system with reversible equilibria.” International Journal of Bifurcation and Chaos 22, no. 6 (January 1, 2012). https://doi.org/10.1142/S0218127412300200.
Wiebe R, Virgin LN, Witelski TP. A parametrically forced nonlinear system with reversible equilibria. International Journal of Bifurcation and Chaos. 2012 Jan 1;22(6).
Wiebe, R., et al. “A parametrically forced nonlinear system with reversible equilibria.” International Journal of Bifurcation and Chaos, vol. 22, no. 6, Jan. 2012. Scopus, doi:10.1142/S0218127412300200.
Wiebe R, Virgin LN, Witelski TP. A parametrically forced nonlinear system with reversible equilibria. International Journal of Bifurcation and Chaos. 2012 Jan 1;22(6).
Published In
International Journal of Bifurcation and Chaos
DOI
ISSN
0218-1274
Publication Date
January 1, 2012
Volume
22
Issue
6
Related Subject Headings
- Fluids & Plasmas
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0913 Mechanical Engineering
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics