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Explosive Synchronization Transitions in Scale-Free Networks
Open accessAbstract
Explosive collective phenomena have attracted much attention since the discovery of an explosive percolation transition. In this Letter, we demonstrate how an explosive transition shows up in the synchronization of scale-free networks by incorporating a microscopic correlation between the structural and the dynamical properties of the system. The characteristics of the explosive transition are analytically studied in a star graph reproducing the results obtained in synthetic networks. Our findings represent the first abrupt synchronization transition in complex networks and provide a deeper understanding of the microscopic roots of explosive critical phenomena.
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The Geometry of Biological Time
Winfree, A. T. (1980) · doi:10.1007/978-3-662-22492-2 · Cited by 3,613
Cited by
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Saberi, A. A. (2015) · Physics Reports · doi:10.1016/j.physrep.2015.03.003 · Cited by 438
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
Effective theory of collective deep learning
Arola-Fernández, L., & Lacasa, L. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.l042040 · Cited by 3
Metadata
- Authors
- Gómez-Gardeñes, J., Gómez, S., Arenas, A., & Moreno, Y.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-03-23
- Volume
- 106
- Issue
- 12
- Pages
- 128701-128701
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2061293139
- Cited by
- 674
- References
- 1
- FWCI
- 35.86
- Type
- journal article
- Language
- en
- Open access
- green
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- Gómez-Gardeñes, J., Gómez, S., Arenas, A., & Moreno, Y. (2011). Explosive Synchronization Transitions in Scale-Free Networks. Physical Review Letters. https://doi.org/10.1103/physrevlett.106.128701
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