The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Stability of periodic orbits controlled by time-delay feedback
Open accessAbstract
Abstract 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.
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Citations
Cites
Ott, E., Grebogi, C., & Yorke, J. A. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.1196 · Cited by 5,431
Cited by
Mechanism of Time-Delayed Feedback Control
Just, W., Bernard, T., Ostheimer, M., Reibold, E., & Benner, H. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.203 · Cited by 314
Metadata
- Authors
- Bleich, M. E., & Socolar, J. E. S.
- Venue
- Physics Letters A
- Publisher
- Elsevier BV
- Published
- 1996-01
- Volume
- 210
- Issue
- 1-2
- Pages
- 87-94
- ISSN
- 0375-9601 (ISSN-L)
- OpenAlex
- W2144999608
- Cited by
- 204
- References
- 1
- FWCI
- 12.64
- Type
- journal article
- Language
- en
- Open access
- green
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- Bleich, M. E., & Socolar, J. E. S. (1996). Stability of periodic orbits controlled by time-delay feedback. Physics Letters A. https://doi.org/10.1016/0375-9601(95)00827-6
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