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Synchronization Transitions in a Disordered Josephson Series Array
Open accessAbstract
We show that a current-biased series array of nonidentical Josephson junctions undergoes two transitions as a function of the spread of natural frequencies. One transition corresponds to the onset of partial synchronization, and the other corresponds to complete phase locking. In the limit of weak coupling and disorder, the system can be mapped onto an exactly solvable model introduced by Kuramoto and the transition points can be accurately predicted.
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Citations
Cites
The Geometry of Biological Time
Winfree, A. T. (1980) · doi:10.1007/978-3-662-22492-2 · Cited by 3,613
Cited by
The synchronization of chaotic systems
Boccaletti, S., Kurths, J., Osipov, G., Valladares, D. L., & Zhou, C. S. (2002) · Physics Reports · doi:10.1016/s0370-1573(02)00137-0 · Cited by 2,764
A synchronized quorum of genetic clocks
Danino, T., Mondragón-Palomino, O., Tsimring, L., & Hasty, J. (2010) · Nature · doi:10.1038/nature08753 · Cited by 992
Time Delay in the Kuramoto Model of Coupled Oscillators
Yeung, M. K. S., & Strogatz, S. H. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.648 · Cited by 601
Self-citationExplosive 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
Hu, X., & Lin, S.-Z. (2010) · Superconductor Science and Technology · doi:10.1088/0953-2048/23/5/053001 · Cited by 111
Metadata
- Authors
- Wiesenfeld, K., Colet, P., & Strogatz, S. H.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1996-01-15
- Volume
- 76
- Issue
- 3
- Pages
- 404-407
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1992406658
- Cited by
- 627
- References
- 1
- FWCI
- 34.78
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Wiesenfeld, K., Colet, P., & Strogatz, S. H. (1996). Synchronization Transitions in a Disordered Josephson Series Array. Physical Review Letters. https://doi.org/10.1103/physrevlett.76.404
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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.
