The DOI matches its Crossref record.
Applications of Centre Manifold Theory.
Abstract
The purpose of the lectures was to give an introduction to the applications of centre manifold theory to differential equations. Most of the material is presented in an informal fashion, by means of worked examples in the hope that this clarifies the use of centre manifold theory. (Author)
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
Functional and Effective Connectivity: A Review
Friston, K. J. (2011) · Brain Connectivity · doi:10.1089/brain.2011.0008 · Cited by 3,415
The Boltzmann Equation and Its Applications
Cercignani, C. (1988) · Applied Mathematical Sciences · doi:10.1007/978-1-4612-1039-9 · Cited by 3,130
Kress, R. (1989) · Applied Mathematical Sciences · doi:10.1007/978-3-642-97146-4 · Cited by 834
Mixed-Mode Oscillations with Multiple Time Scales
Desroches, M., Guckenheimer, J., Krauskopf, B., Kuehn, C., Osinga, H. M., & Wechselberger, M. (2012) · SIAM Review · doi:10.1137/100791233 · Cited by 554
Friston, K. J., Kahan, J., Biswal, B., & Razi, A. (2014) · NeuroImage · doi:10.1016/j.neuroimage.2013.12.009 · Cited by 553
Metadata
- Authors
- Carr, J.
- Publisher
- Defense Technical Information Center
- Published
- 1979-06-01
- OpenAlex
- W1561704653
- Cited by
- 1,218
- References
- 0
- Type
- report
- 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: Applications of Centre Manifold Theory. https://app.cochat.ai/papers/10.21236/ada074052
- The paper
- Carr, J. (1979). Applications of Centre Manifold Theory. https://doi.org/10.21236/ada074052
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.
