The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Using chaos to direct trajectories to targets
Abstract
A method is developed which uses the exponential sensitivity of a chaotic system to tiny perturbations to direct the system to a desired accessible state in a short time. This is done by applying a small, judiciously chosen, perturbation to an available system parameter. An expression for the time required to reach an accessible state by applying such a perturbation is derived and confirmed by numerical experiment. The method introduced is shown to be effective even in the presence of small-amplitude noise or small modeling errors.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
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
Hayes, S., Grebogi, C., & Ott, E. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.3031 · Cited by 573
Self-citation
Metadata
- Authors
- Shinbrot, T., Ott, E., Grebogi, C., & Yorke, J. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1990-12-24
- Volume
- 65
- Issue
- 26
- Pages
- 3215-3218
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2033682634
- Cited by
- 416
- References
- 1
- FWCI
- 11.03
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Using chaos to direct trajectories to targets. https://app.cochat.ai/papers/10.1103/physrevlett.65.3215
- The paper
- Shinbrot, T., Ott, E., Grebogi, C., & Yorke, J. A. (1990). Using chaos to direct trajectories to targets. Physical Review Letters. https://doi.org/10.1103/physrevlett.65.3215
Data sources
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).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
