Limitation on stabilizing plane waves via time-delay feedback.
Publication
, Journal Article
Harrington, I; Socolar, JE
Published in: Physical review. E, Statistical, nonlinear, and soft matter physics
November 2001
Previous work has demonstrated the possibility of stabilizing plane wave solutions of one-dimensional systems using a spatially local form of time-delayed feedback. We show that the natural extension of this method to two-dimensional systems fails due to the presence of torsion-free unstable perturbations. Linear stability analysis of the complex Ginzburg-Landau equation reveals that long wavelength, transverse wave instabilities cannot be suppressed by the method of extended time-delay autosynchronization. The conclusion follows from symmetry considerations and therefore applies to a wide class of models with simple plane wave solutions.
Duke Scholars
Published In
Physical review. E, Statistical, nonlinear, and soft matter physics
DOI
EISSN
1550-2376
ISSN
1539-3755
Publication Date
November 2001
Volume
64
Issue
5 Pt 2
Start / End Page
056206
Related Subject Headings
- Fluids & Plasmas
- 09 Engineering
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Harrington, I., & Socolar, J. E. (2001). Limitation on stabilizing plane waves via time-delay feedback. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 64(5 Pt 2), 056206. https://doi.org/10.1103/physreve.64.056206
Harrington, I., and J. E. Socolar. “Limitation on stabilizing plane waves via time-delay feedback.” Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 64, no. 5 Pt 2 (November 2001): 056206. https://doi.org/10.1103/physreve.64.056206.
Harrington I, Socolar JE. Limitation on stabilizing plane waves via time-delay feedback. Physical review E, Statistical, nonlinear, and soft matter physics. 2001 Nov;64(5 Pt 2):056206.
Harrington, I., and J. E. Socolar. “Limitation on stabilizing plane waves via time-delay feedback.” Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 64, no. 5 Pt 2, Nov. 2001, p. 056206. Epmc, doi:10.1103/physreve.64.056206.
Harrington I, Socolar JE. Limitation on stabilizing plane waves via time-delay feedback. Physical review E, Statistical, nonlinear, and soft matter physics. 2001 Nov;64(5 Pt 2):056206.
Published In
Physical review. E, Statistical, nonlinear, and soft matter physics
DOI
EISSN
1550-2376
ISSN
1539-3755
Publication Date
November 2001
Volume
64
Issue
5 Pt 2
Start / End Page
056206
Related Subject Headings
- Fluids & Plasmas
- 09 Engineering
- 02 Physical Sciences
- 01 Mathematical Sciences