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Dynamical Weights and Enhanced Synchronization in Adaptive Complex Networks
Abstract
Dynamical organization of connection weights is studied in scale-free networks of chaotic oscillators, where the coupling strength of a node from its neighbors develops adaptively according to the local synchronization property between the node and its neighbors. We find that when complete synchronization is achieved, the coupling strength becomes weighted and correlated with the topology due to a hierarchical transition to synchronization in heterogeneous networks. Importantly, such an adaptive process enhances significantly the synchronizability of the networks, which could have meaningful implications in the manipulation of dynamical networks.
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Citations
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
Cited by
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-citationNetwork physiology reveals relations between network topology and physiological function
Bashan, A., Bartsch, R. P., Kantelhardt, J. W., Havlin, S., & Ivanov, P. C. (2012) · Nature Communications · doi:10.1038/ncomms1705 · Cited by 721
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
Distributed Adaptive Control of Synchronization in Complex Networks
Yu, W., DeLellis, P., Chen, G., di Bernardo, M., & Kurths, J. (2012) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2012.2183190 · Cited by 403
Self-citationGraph theory and networks in Biology
Mason, O., & Verwoerd, M. (2007) · IET Systems Biology · doi:10.1049/iet-syb:20060038 · Cited by 398
Metadata
- Authors
- Zhou, C., & Kurths, J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-04-24
- Volume
- 96
- Issue
- 16
- Pages
- 164102-164102
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1984207815
- Cited by
- 397
- References
- 1
- FWCI
- 44.87
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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