Delayed feedback control of a paced excitable oscillator
Publication
, Journal Article
Bleich, ME; Socolar, JES
Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
January 1, 2000
A simple numerical experiment on Fitzhugh-Nagumo equations demonstrates that time-delay feedback methods can stabilize regular behavior in a paced, excitable oscillator without using large applied pulses. The method is robust against slow variations in the pacing rate and can be used to track an orbit into a parameter regime where it is unstable. Moreover, the method requires no information about the desired orbit other than period, which is determined directly by the observation of the pacing signal. Results are presented for feedback stabilization of a nonspiking orbit in the rapid pacing regime.
Duke Scholars
Published In
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
DOI
ISSN
0218-1274
Publication Date
January 1, 2000
Volume
10
Issue
3
Start / End Page
603 / 609
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
Bleich, M. E., & Socolar, J. E. S. (2000). Delayed feedback control of a paced excitable oscillator. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 10(3), 603–609. https://doi.org/10.1142/S0218127400000414
Bleich, M. E., and J. E. S. Socolar. “Delayed feedback control of a paced excitable oscillator.” International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10, no. 3 (January 1, 2000): 603–9. https://doi.org/10.1142/S0218127400000414.
Bleich ME, Socolar JES. Delayed feedback control of a paced excitable oscillator. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2000 Jan 1;10(3):603–9.
Bleich, M. E., and J. E. S. Socolar. “Delayed feedback control of a paced excitable oscillator.” International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 10, no. 3, Jan. 2000, pp. 603–09. Scopus, doi:10.1142/S0218127400000414.
Bleich ME, Socolar JES. Delayed feedback control of a paced excitable oscillator. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2000 Jan 1;10(3):603–609.
Published In
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
DOI
ISSN
0218-1274
Publication Date
January 1, 2000
Volume
10
Issue
3
Start / End Page
603 / 609
Related Subject Headings
- Fluids & Plasmas
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0913 Mechanical Engineering
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics