The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Network synchronization, diffusion, and the paradox of heterogeneity
Open accessAbstract
Many complex networks display strong heterogeneity in the degree (connectivity) distribution. Heterogeneity in the degree distribution often reduces the average distance between nodes but, paradoxically, may suppress synchronization in networks of oscillators coupled symmetrically with uniform coupling strength. Here we offer a solution to this apparent paradox. Our analysis is partially based on the identification of a diffusive process underlying the communication between oscillators and reveals a striking relation between this process and the condition for the linear stability of the synchronized states. We show that, for a given degree distribution, the maximum synchronizability is achieved when the network of couplings is weighted and directed and the overall cost involved in the couplings is minimum. This enhanced synchronizability is solely determined by the mean degree and does not depend on the degree distribution and system size. Numerical verification of the main results is provided for representative classes of small-world and scale-free networks.
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Cites
Emergence of Scaling in Random Networks
Barabási, A.-L., & Albert, R. (1999) · Science · doi:10.1126/science.286.5439.509 · Cited by 36,135
Error and attack tolerance of complex networks
Albert, R., Jeong, H., & Barabási, A.-L. (2000) · Nature · doi:10.1038/35019019 · Cited by 7,534
Bollobás, B. (2001) · doi:10.1017/cbo9780511814068 · Cited by 2,639
Cascade Control and Defense in Complex Networks
Motter, A. E. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.098701 · Cited by 776
Self-citation
Cited by
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
Synchronization in complex networks
Arenas, A., Díaz-Guilera, A., Kurths, J., Moreno, Y., & Zhou, C. (2008) · Physics Reports · doi:10.1016/j.physrep.2008.09.002 · Cited by 3,713
Self-citationCritical phenomena in complex networks
Dorogovtsev, S. N., Goltsev, A. V., & Mendes, J. F. F. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1275 · Cited by 2,220
The application of graph theoretical analysis to complex networks in the brain
Reijneveld, J. C., Ponten, S. C., Berendse, H. W., & Stam, C. J. (2007) · Clinical Neurophysiology · doi:10.1016/j.clinph.2007.08.010 · Cited by 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
- Motter, A. E., Zhou, C., & Kurths, J.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2005-01-12
- Volume
- 71
- Issue
- 1
- Pages
- 016116-016116
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W2045021315
- Cited by
- 546
- References
- 4
- FWCI
- 65.78
- Type
- journal article
- Language
- en
- Open access
- green
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