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Remote Synchronization Reveals Network Symmetries and Functional Modules
Open accessAbstract
We study a Kuramoto model in which the oscillators are associated with the nodes of a complex network and the interactions include a phase frustration, thus preventing full synchronization. The system organizes into a regime of remote synchronization where pairs of nodes with the same network symmetry are fully synchronized, despite their distance on the graph. We provide analytical arguments to explain this result, and we show how the frustration parameter affects the distribution of phases. An application to brain networks suggests that anatomical symmetry plays a role in neural synchronization by determining correlated functional modules across distant locations.
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Cites
Complex brain networks: graph theoretical analysis of structural and functional systems
Bullmore, E., & Sporns, O. (2009) · Nature Reviews Neuroscience · doi:10.1038/nrn2575 · Cited by 11,820
Fortunato, S. (2010) · Physics Reports · doi:10.1016/j.physrep.2009.11.002 · Cited by 11,293
Cited by
Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators
Panaggio, M. J., & Abrams, D. M. (2015) · Nonlinearity · doi:10.1088/0951-7715/28/3/r67 · Cited by 788
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
Moon, J.-Y., Lee, U., Blain-Moraes, S., & Mashour, G. A. (2015) · PLOS Computational Biology · doi:10.1371/journal.pcbi.1004225 · Cited by 136
A computational toolbox for the assembly yield of complex and heterogeneous structures
Curatolo, A. I., Kimchi, O., Goodrich, C. P., Krueger, R. K., & Brenner, M. P. (2023) · Nature Communications · doi:10.1038/s41467-023-43168-4 · Cited by 15
Metadata
- Authors
- Nicosia, V., Valencia, M., Chavez, M., Díaz-Guilera, A., & Latora, V.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2013-04-25
- Volume
- 110
- Issue
- 17
- Pages
- 174102-174102
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2081805716
- Cited by
- 274
- References
- 2
- FWCI
- 22.47
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Nicosia, V., Valencia, M., Chavez, M., Díaz-Guilera, A., & Latora, V. (2013). Remote Synchronization Reveals Network Symmetries and Functional Modules. Physical Review Letters. https://doi.org/10.1103/physrevlett.110.174102
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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.
