The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Controlling chaos in high dimensional systems
Abstract
Recently formulated techniques for controlling chaotic dynamics face a fundamental problem when the system is high dimensional, and this problem is present even when the chaotic attractor is low dimensional. Here we introduce a procedure for controlling a chaotic time signal of an arbitrarily high dimensional system, without assuming any knowledge of the underlying dynamical equations. Specifically, we formulate a feedback control that requires modeling the local dynamics of only a single or a few of the possibly infinite number of phase-space variables.
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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
Sauer, T., Yorke, J. A., & Casdagli, M. (1991) · Journal of Statistical Physics · doi:10.1007/bf01053745 · Cited by 2,045
Self-citation
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
- Auerbach, D., Grebogi, C., Ott, E., & Yorke, J. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1992-12-14
- Volume
- 69
- Issue
- 24
- Pages
- 3479-3482
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1991746188
- Cited by
- 193
- References
- 2
- FWCI
- 13.81
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Controlling chaos in high dimensional systems. https://app.cochat.ai/papers/10.1103/physrevlett.69.3479
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- Auerbach, D., Grebogi, C., Ott, E., & Yorke, J. A. (1992). Controlling chaos in high dimensional systems. Physical Review Letters. https://doi.org/10.1103/physrevlett.69.3479
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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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