The DOI matches its Crossref record; 30 of the 30 references it cites were found in a registry or an index.
Time Delay in the Kuramoto Model of Coupled Oscillators
Open accessAbstract
We generalize the Kuramoto model of coupled oscillators to allow time-delayed interactions. New phenomena include bistability between synchronized and incoherent states, and unsteady solutions with time-dependent order parameters. We derive exact formulas for the stability boundaries of the incoherent and synchronized states, as a function of the delay, in the special case where the oscillators are identical. The experimental implications of the model are discussed for populations of chirping crickets, where the finite speed of sound causes communication delays, and for physical systems such as coupled phase-locked loops or lasers.
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Cites
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Biological rhythms and the behavior of populations of coupled oscillators
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A Study of Locking Phenomena in Oscillators
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A study of locking phenomena in oscillators
Adler, R. (1973) · Proceedings of the IEEE · doi:10.1109/proc.1973.9292 · Cited by 964
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Self-citationMathematical aspects of heart physiology
Peskin, C. S. (1975) · Courant Institute of Mathematical Sciences, New York University eBooks · Cited by 605
Time Delay Induced Death in Coupled Limit Cycle Oscillators
Ramana Reddy, D. V., Sen, A., & Johnston, G. L. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.5109 · Cited by 593
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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
Nonmaximally Entangled States: Production, Characterization, and Utilization
White, A. G., James, D. F. V., Eberhard, P. H., & Kwiat, P. G. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.3103 · Cited by 511
Exploring the network dynamics underlying brain activity during rest
Cabral, J., Kringelbach, M. L., & Deco, G. (2014) · Progress in Neurobiology · doi:10.1016/j.pneurobio.2013.12.005 · Cited by 351
Role of myelin plasticity in oscillations and synchrony of neuronal activity
Pajevic, S., Basser, P. J., & Fields, R. D. (2014) · Neuroscience · doi:10.1016/j.neuroscience.2013.11.007 · Cited by 378
Climate Networks around the Globe are Significantly Affected by El Niño
Yamasaki, K., Gozolchiani, A., & Havlin, S. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.228501 · Cited by 357
Metadata
- Authors
- Yeung, M. K. S., & Strogatz, S. H.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1999-01-18
- Volume
- 82
- Issue
- 3
- Pages
- 648-651
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2132434872
- Cited by
- 601
- References
- 30
- FWCI
- 15.18
- Type
- journal article
- Language
- en
- Open access
- green
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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.
