The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
On the stability of the Kuramoto model of coupled nonlinear oscillators
Open accessAbstract
We provide an analysis of the classic Kuramoto model of coupled nonlinear oscillators that goes beyond the existing results for all-to-all networks of identical oscillators. Our work is applicable to oscillator networks of arbitrary interconnection topology with uncertain natural frequencies. Using tools from spectral graph theory and control theory, we prove that for couplings above a critical value all the oscillators synchronize, resulting in convergence of all phase differences to a constant value, both in the case of identical natural frequencies as well as uncertain ones. We also provide a series of bounds for the critical values of the coupling strength.
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Cites
Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
Olfati-Saber, R., & Murray, R. M. (2004) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2004.834113 · Cited by 12,788
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
Self-citationThe Geometry of Biological Time
Winfree, A. T. (1980) · doi:10.1007/978-3-662-22492-2 · Cited by 3,613
Consensus protocols for networks of dynamic agents
Saber, R. O., & Murray, R. M. (2004) · Proceedings of the 2003 American Control Conference, 2003. · doi:10.1109/acc.2003.1239709 · Cited by 901
Cited by
Consensus and Cooperation in Networked Multi-Agent Systems
Olfati-Saber, R., Fax, J. A., & Murray, R. M. (2007) · Proceedings of the IEEE · doi:10.1109/jproc.2006.887293 · Cited by 10,522
Explosive transitions in complex networks’ structure and dynamics: Percolation and synchronization
Boccaletti, S., Almendral, J. A., Guan, S., Leyva, I., Liu, Z., Sendiña-Nadal, I., Wang, Z., & Zou, Y. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.10.004 · Cited by 363
Metadata
- Authors
- Jadbabaie, A., Motee, N., & Barahona, M.
- Venue
- Proceedings of the 2004 American Control Conference
- Publisher
- IEEE
- Published
- 2004
- Volume
- 5
- Pages
- 4296-4301 vol.5
- ISSN
- 0743-1619 (ISSN-L)
- OpenAlex
- W2151063922
- Cited by
- 451
- References
- 4
- FWCI
- 11.58
- Type
- conference paper
- Language
- en
- Open access
- green
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- Jadbabaie, A., Motee, N., & Barahona, M. (2004). On the stability of the Kuramoto model of coupled nonlinear oscillators. Proceedings of the 2004 American Control Conference. https://doi.org/10.23919/acc.2004.1383983
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