The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
A periodically forced piecewise linear oscillator
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
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
Guckenheimer, J., & Holmes, P. (1983) · Applied Mathematical Sciences · doi:10.1007/978-1-4612-1140-2 · Cited by 16,144
Self-citationQuantitative universality for a class of nonlinear transformations
Feigenbaum, M. J. (1978) · Journal of Statistical Physics · doi:10.1007/bf01020332 · Cited by 3,589
Björck, Å., Dahlquist, G. G., & Anderson, N. (1974) · Cited by 1,719
Nonlinear Oscillations Dynamical Systems, and Bifurcations of Vector Fields
Guckenheimer, J., Holmes, P., & Slemrod, M. (1984) · Journal of Applied Mechanics · doi:10.1115/1.3167759 · Cited by 1,259
Self-citationGODDARD, L. S. (1963) · Nature · doi:10.1038/197525a0 · Cited by 1,083
Stable and Random Motions in Dynamical Systems
Moser, J., & Saari, D. (1975) · Physics Today · doi:10.1063/1.3068879 · Cited by 992
(1966) · Elsevier eBooks · doi:10.1016/c2013-0-06631-5 · Cited by 924
Stable and Random Motions in Dynamical Systems: With Special Emphasis on Celestial Mechanics (AM-77)
Moser, J. (2001) · Princeton University Press eBooks · doi:10.1515/9781400882694 · Cited by 658
The dynamics of repeated impacts with a sinusoidally vibrating table
Holmes, P. J. (1982) · Journal of Sound and Vibration · doi:10.1016/0022-460x(82)90215-2 · Cited by 455
Self-citationChaotic vibrations of a beam with non-linear boundary conditions
Moon, F. C., & Shaw, S. W. (1983) · International Journal of Non-Linear Mechanics · doi:10.1016/0020-7462(83)90033-1 · Cited by 232
Self-citation
Cited by
A review of nonlinear dynamics applications to structural health monitoring
Worden, K., Farrar, C. R., Haywood, J., & Todd, M. (2008) · Structural Control and Health Monitoring · doi:10.1002/stc.215 · Cited by 212
A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types
Saeed, A. S., Abdul Nasar, R., & AL-Shudeifat, M. A. (2023) · Nonlinear Dynamics · doi:10.1007/s11071-022-08094-y · Cited by 208
Lee, Y. S., Nucera, F., Vakakis, A. F., McFarland, D. M., & Bergman, L. A. (2009) · Physica D: Nonlinear Phenomena · doi:10.1016/j.physd.2009.06.013 · Cited by 157
Tao, H., & Gibert, J. (2019) · Nonlinear Dynamics · doi:10.1007/s11071-018-04734-4 · Cited by 41
Metadata
- Authors
- Shaw, S. W., & Holmes, P. J.
- Venue
- Journal of Sound and Vibration
- Publisher
- Elsevier BV
- Published
- 1983-09
- Volume
- 90
- Issue
- 1
- Pages
- 129-155
- ISSN
- 0022-460X (ISSN-L)
- OpenAlex
- W2012069094
- Cited by
- 887
- References
- 10
- FWCI
- 11.58
- 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 periodically forced piecewise linear oscillator. https://app.cochat.ai/papers/10.1016/0022-460x(83)90407-8
- The paper
- Shaw, S. W., & Holmes, P. J. (1983). A periodically forced piecewise linear oscillator. Journal of Sound and Vibration. https://doi.org/10.1016/0022-460x(83)90407-8
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.
