Skip to main content
Journal cover image

Stability of periodic orbits controlled by time-delay feedback

Publication ,  Journal Article
Bleich, ME; Socolar, JES
Published in: Physics Letters, Section A: General, Atomic and Solid State Physics
January 1, 1996

Extended time-delay auto-synchronization (ETDAS) is a promising technique for stabilizing unstable periodic orbits in low-dimensional dynamical systems. The technique involves continuous feedback of signals delayed by multiples of the orbit's period in a manner that is especially well-suited for fast systems and optical implementation. We show how to analyze the stability of a given implementation of ETDAS without explicit integration of time-delay equations. To illustrate the method and point out some nontrivial features of ETDAS, we obtain the domain of control for a period-one orbit of the driven, damped pendulum.

Duke Scholars

Published In

Physics Letters, Section A: General, Atomic and Solid State Physics

DOI

ISSN

0375-9601

Publication Date

January 1, 1996

Volume

210

Issue

1-2

Start / End Page

87 / 94

Related Subject Headings

  • Fluids & Plasmas
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Bleich, M. E., & Socolar, J. E. S. (1996). Stability of periodic orbits controlled by time-delay feedback. Physics Letters, Section A: General, Atomic and Solid State Physics, 210(1–2), 87–94. https://doi.org/10.1016/0375-9601(95)00827-6
Bleich, M. E., and J. E. S. Socolar. “Stability of periodic orbits controlled by time-delay feedback.” Physics Letters, Section A: General, Atomic and Solid State Physics 210, no. 1–2 (January 1, 1996): 87–94. https://doi.org/10.1016/0375-9601(95)00827-6.
Bleich ME, Socolar JES. Stability of periodic orbits controlled by time-delay feedback. Physics Letters, Section A: General, Atomic and Solid State Physics. 1996 Jan 1;210(1–2):87–94.
Bleich, M. E., and J. E. S. Socolar. “Stability of periodic orbits controlled by time-delay feedback.” Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 210, no. 1–2, Jan. 1996, pp. 87–94. Scopus, doi:10.1016/0375-9601(95)00827-6.
Bleich ME, Socolar JES. Stability of periodic orbits controlled by time-delay feedback. Physics Letters, Section A: General, Atomic and Solid State Physics. 1996 Jan 1;210(1–2):87–94.
Journal cover image

Published In

Physics Letters, Section A: General, Atomic and Solid State Physics

DOI

ISSN

0375-9601

Publication Date

January 1, 1996

Volume

210

Issue

1-2

Start / End Page

87 / 94

Related Subject Headings

  • Fluids & Plasmas
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences