The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
A practical method for calculating largest Lyapunov exponents from small data sets
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
Detecting strange attractors in turbulence
Takens, F. (1981) · Lecture Notes in Mathematics · doi:10.1007/bfb0091924 · Cited by 10,459 · cited 2×
“Furthermore, experimental data often consist of time series from a single observable, and one must employ a technique for attractor reconstruction , e.g., method of delays [27] [37], singular value decomposition [8].”
Method
Cited by
Heart rate variability: A review
Rajendra Acharya, U., Paul Joseph, K., Kannathal, N., Lim, C. M., & Suri, J. S. (2006) · Medical & Biological Engineering & Computing · doi:10.1007/s11517-006-0119-0 · Cited by 2,820
Sassi, R., Cerutti, S., Lombardi, F., Malik, M., Huikuri, H. V., Peng, C.-K., Schmidt, G., Yamamoto, Y., Reviewers:, D., Gorenek, B., et al. (2015) · Europace · doi:10.1093/europace/euv015 · Cited by 727
Chaos in a long-term experiment with a plankton community
Benincà, E., Huisman, J., Heerkloss, R., Jöhnk, K. D., Branco, P., Van Nes, E. H., Scheffer, M., & Ellner, S. P. (2008) · Nature · doi:10.1038/nature06512 · Cited by 455
Dynamical structure of center-of-pressure trajectories in patients recovering from stroke
Roerdink, M., De Haart, M., Daffertshofer, A., Donker, S. F., Geurts, A. C. H., & Beek, P. J. (2006) · Experimental Brain Research · doi:10.1007/s00221-006-0441-7 · Cited by 302
Pathological tremors: deterministic chaos or nonlinear stochastic oscillators?
Timmer, J., Häussler, S., Lauk, M., & Lücking, C.-H. (2000) · Chaos: An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/1.166494 · Cited by 130
Metadata
- Authors
- Rosenstein, M. T., Collins, J. J., & De Luca, C. J.
- Venue
- Physica D: Nonlinear Phenomena
- Publisher
- Elsevier BV
- Published
- 1993-05
- Volume
- 65
- Issue
- 1-2
- Pages
- 117-134
- ISSN
- 0167-2789 (ISSN-L)
- OpenAlex
- W2124428761
- Cited by
- 3,486
- References
- 1
- FWCI
- 5.36
- 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: A practical method for calculating largest Lyapunov exponents from small data sets. https://app.cochat.ai/papers/10.1016/0167-2789(93)90009-p
- The paper
- Rosenstein, M. T., Collins, J. J., & De Luca, C. J. (1993). A practical method for calculating largest Lyapunov exponents from small data sets. Physica D: Nonlinear Phenomena. https://doi.org/10.1016/0167-2789(93)90009-p
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.