The DOI matches its Crossref record.
Localized structures generated by subcritical instabilities
Abstract
We report the existence of structurally stable pulse-like solutions in the vicinity of an inverted Hopf bifurcation. These localized structures correspond to droplets in first order phase transitions, where they are known to be unstable. We show that the stabilisation mechanism is a non variational effect, i.e. is due to the non existence of a "free-energy" to minimize in the instability problem we consider. We propose this mechanism as an explanation for the existence of localized waves in shear flows or in convection experiments in binary fluid mixtures.
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
Pattern formation outside of equilibrium
Cross, M. C., & Hohenberg, P. C. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.851 · Cited by 7,859
The world of the complex Ginzburg-Landau equation
Aranson, I. S., & Kramer, L. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.99 · Cited by 1,941
Localized structures and localized patterns in optical bistability
Tlidi, M., Mandel, P., & Lefever, R. (1994) · Physical Review Letters · doi:10.1103/physrevlett.73.640 · Cited by 391
Localized vegetation patches: a self-organized response to resource scarcity.
Lejeune, O., Tlidi, M., & Couteron, P. (2002) · Physical Review E · doi:10.1103/physreve.66.010901 · Cited by 240
Metadata
- Authors
- Thual, O., & Fauve, S.
- Venue
- Journal de Physique
- Publisher
- EDP Sciences
- Published
- 1988
- Volume
- 49
- Issue
- 11
- Pages
- 1829-1833
- ISSN
- 0302-0738 (ISSN-L)
- OpenAlex
- W1969319512
- Cited by
- 416
- References
- 0
- FWCI
- 22.62
- 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: Localized structures generated by subcritical instabilities. https://app.cochat.ai/papers/10.1051/jphys:0198800490110182900
- The paper
- Thual, O., & Fauve, S. (1988). Localized structures generated by subcritical instabilities. Journal de Physique. https://doi.org/10.1051/jphys%3A0198800490110182900
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.
