The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
Synchronization on small-world networks
Open accessAbstract
We investigate collective synchronization in a system of coupled oscillators on small-world networks. The order parameters that measure synchronization of phases and frequencies are introduced and analyzed by means of dynamic simulations and finite-size scaling. Phase synchronization is observed to emerge in the presence of even a tiny fraction P of shortcuts and to display saturated behavior for P > or similar to 0.5. This indicates that the same synchronizability as the random network (P=1) can be achieved with relatively small number of shortcuts. The transient behavior of the synchronization, obtained from the measurement of the relaxation time, is also discussed.
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
Collective dynamics of ‘small-world’ networks
Watts, D. J., & Strogatz, S. H. (1998) · Nature · doi:10.1038/30918 · Cited by 43,060
Emergence of Scaling in Random Networks
Barabási, A.-L., & Albert, R. (1999) · Science · doi:10.1126/science.286.5439.509 · Cited by 36,135
Strogatz, S. H. (2001) · Nature · doi:10.1038/35065725 · Cited by 8,302
Chemical Oscillations, Waves, and Turbulence
Kuramoto, Y. (1984) · Springer Series in Synergetics · doi:10.1007/978-3-642-69689-3 · Cited by 7,142
Faires, J. D. (1978) · Cited by 6,711
Diameter of the World-Wide Web
Albert, R., Jeong, H., & Barabási, A.-L. (1999) · Nature · doi:10.1038/43601 · Cited by 4,260
The Geometry of Biological Time
Winfree, A. T. (1980) · doi:10.1007/978-3-662-22492-2 · Cited by 3,613
Renormalization group analysis of the small-world network model
Newman, M. E. J., & Watts, D. J. (1999) · Physics Letters A · doi:10.1016/s0375-9601(99)00757-4 · Cited by 1,448
Scaling and percolation in the small-world network model
Newman, M. E. J., & Watts, D. J. (1999) · Physical Review E · doi:10.1103/physreve.60.7332 · Cited by 1,202
Newman, M. E. J. (2000) · Journal of Statistical Physics · doi:10.1023/a:1026485807148 · Cited by 716
Cited by
The Structure and Function of Complex Networks
Newman, M. E. J. (2003) · SIAM Review · doi:10.1137/s003614450342480 · Cited by 18,719
Complex networks: structure and dynamics
BOCCALETTI, S., LATORA, V, MORENO, Y., CHAVEZ, M., & HWANG, D. (2006) · Physics Reports · doi:10.1016/j.physrep.2005.10.009 · Cited by 11,010
Synchronization in complex networks
Arenas, A., Díaz-Guilera, A., Kurths, J., Moreno, Y., & Zhou, C. (2008) · Physics Reports · doi:10.1016/j.physrep.2008.09.002 · Cited by 3,713
Bassett, D. S., & Bullmore, E. (2006) · The Neuroscientist · doi:10.1177/1073858406293182 · Cited by 2,600
Barthélemy, M. (2011) · Physics Reports · doi:10.1016/j.physrep.2010.11.002 · Cited by 2,469
Metadata
- Authors
- Hong, H., Choi, M. Y., & Kim, B. J.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2002-01-24
- Volume
- 65
- Issue
- 2
- Pages
- 026139-026139
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2073550304
- Cited by
- 438
- References
- 17
- FWCI
- 19.16
- Type
- journal article
- Language
- en
- Open access
- green
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: Synchronization on small-world networks. https://app.cochat.ai/papers/10.1103/physreve.65.026139
- The paper
- Hong, H., Choi, M. Y., & Kim, B. J. (2002). Synchronization on small-world networks. Physical Review E. https://doi.org/10.1103/physreve.65.026139
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.