The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Controlling chaos using time delay coordinates
Abstract
The Ott-Grebogi-Yorke control method is analyzed in the case that the attractor is reconstructed from a time series using time delay coordinates. It turns out that the control formula of Ott, Grebogi, and Yorke should be modified in order to apply to experimental systems if time delay coordinates are used. We reveal that the experimental surface of section map depends not only on the actual parameter but also on the preceding one. In order to meet this dependence two modifications are introduced which lead to a better performance of the control. To compare their control abilities they are applied to simulations of a Duffing oscillator.
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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
Experimental control of chaos by delayed self-controlling feedback
Pyragas, K., & Tamaševičius, A. (1993) · Physics Letters A · doi:10.1016/0375-9601(93)90501-p · Cited by 358
Metadata
- Authors
- Dressler, U., & Nitsche, G.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1992-01-06
- Volume
- 68
- Issue
- 1
- Pages
- 1-4
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2085032591
- Cited by
- 273
- References
- 1
- FWCI
- 17.75
- Type
- journal article
- Language
- en
- Open access
- closed
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- Dressler, U., & Nitsche, G. (1992). Controlling chaos using time delay coordinates. Physical Review Letters. https://doi.org/10.1103/physrevlett.68.1
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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