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Invariant Manifolds
Overview
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Citations
Cited by
Ergodic theory of differentiable dynamical systems
Ruelle, D. (1979) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02684768 · Cited by 663
Frequency Plateaus in a Chain of Weakly Coupled Oscillators, I.
Ermentrout, G. B., & Kopell, N. (1984) · SIAM Journal on Mathematical Analysis · doi:10.1137/0515019 · Cited by 453
Introduction to bifurcation theory
Crawford, J. D. (1991) · Reviews of Modern Physics · doi:10.1103/revmodphys.63.991 · Cited by 419
Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
Ostlund, S., Rand, D., Sethna, J., & Siggia, E. (1983) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(83)90229-4 · Cited by 302
Cortical connections and parallel processing: Structure and function
Ballard, D. H. (1986) · Behavioral and Brain Sciences · doi:10.1017/s0140525x00021555 · Cited by 299
Metadata
- Authors
- Hirsch, M. W., Pugh, C. C., & Shub, M.
- Venue
- Lecture Notes in Mathematics
- Publisher
- Springer Berlin Heidelberg
- Published
- 1977
- ISSN
- 0075-8434 (ISSN-L)
- 1617-9692
- OpenAlex
- W4239981491
- Cited by
- 1,323
- References
- 0
- FWCI
- 14.38
- Type
- book
- 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.
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How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Invariant Manifolds. https://app.cochat.ai/papers/10.1007/bfb0092042
- The paper
- Hirsch, M. W., Pugh, C. C., & Shub, M. (1977). Invariant Manifolds. Lecture Notes in Mathematics. https://doi.org/10.1007/bfb0092042
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.
