The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Emergent Behavior in Flocks
Abstract
We provide a model (for both continuous and discrete time) describing the evolution of a flock. Our model is parameterized by a constant beta capturing the rate of decay-which in our model is polynomial-of the influence between birds in the flock as they separate in space. Our main result shows that when beta<1/2 convergence of the flock to a common velocity is guaranteed, while for betages1/2 convergence is guaranteed under some condition on the initial positions and velocities of the birds only
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Cites
Coordination of groups of mobile autonomous agents using nearest neighbor rules
Jadbabaie, A., Lin, J., & Morse, A. S. (2003) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2003.812781 · Cited by 8,339
Accuracy and Stability of Numerical Algorithms: Second Edition
Higham, N. J. (2002) · doi:10.1137/1.9780898718027 · Cited by 3,803
Distributed asynchronous deterministic and stochastic gradient optimization algorithms
Tsitsiklis, J., Bertsekas, D., & Athans, M. (1986) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1986.1104412 · Cited by 1,967
Cited by
Vicsek, T., & Zafeiris, A. (2012) · Physics Reports · doi:10.1016/j.physrep.2012.03.004 · Cited by 2,923
Inferring the structure and dynamics of interactions in schooling fish
Katz, Y., Tunstrøm, K., Ioannou, C. C., Huepe, C., & Couzin, I. D. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1107583108 · Cited by 927
Rosenthal, S. B., Twomey, C. R., Hartnett, A. T., Wu, H. S., & Couzin, I. D. (2015) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1420068112 · Cited by 474
Cucker–Smale Flocking under Hierarchical Leadership
Shen, J. (. (2008) · SIAM Journal on Applied Mathematics · doi:10.1137/060673254 · Cited by 304
Metadata
- Authors
- Cucker, F., & Smale, S.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2007-05
- Volume
- 52
- Issue
- 5
- Pages
- 852-862
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2103714988
- Cited by
- 1,810
- References
- 3
- FWCI
- 61.73
- Type
- journal article
- Language
- en
- Open access
- closed
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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.
