The DOI matches its Crossref record.
The recently recognized failure of predictability in Newtonian dynamics
Abstract
Modern theories of dynamical systems have very clearly demonstrated the unexpected fact that systems governed by the equations of Newtonian dynamics do not necessarily exhibit the ‘predictability’ property. Indeed, very recent researches have shown that in wide classes of very simple systems satisfying those equations predictability is impossible beyond a certain definite time horizon.
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
Cited by
Baptista, M. S. (1998) · Physics Letters A · doi:10.1016/s0375-9601(98)00086-3 · Cited by 885
Forecasting seasonal outbreaks of influenza
Shaman, J., & Karspeck, A. (2012) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1208772109 · Cited by 420
What Are the New Implications of Chaos for Unpredictability?
Werndl, C. (2009) · The British Journal for the Philosophy of Science · doi:10.1093/bjps/axn053 · Cited by 193
Dynamics of planet-crossing asteroids: Classes of orbital behavior
Milani, A., Carpino, M., Hahn, G., & Nobili, A. M. (1989) · Icarus · doi:10.1016/0019-1035(89)90174-7 · Cited by 163
Embracing the Certainty of Uncertainty: Implications for Health Care and Research
Seely, A. J. E. (2013) · Perspectives in Biology and Medicine · doi:10.1353/pbm.2013.0009 · Cited by 36
Metadata
- Authors
- Lighthill, M. J.
- Venue
- Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1986-09-08
- Volume
- 407
- Issue
- 1832
- Pages
- 35-50
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W2128249030
- Cited by
- 187
- References
- 0
- FWCI
- 12.68
- 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: The recently recognized failure of predictability in Newtonian dynamics. https://app.cochat.ai/papers/10.1098/rspa.1986.0082
- The paper
- Lighthill, M. J. (1986). The recently recognized failure of predictability in Newtonian dynamics. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences. https://doi.org/10.1098/rspa.1986.0082
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.