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SYNCHRONIZATION IN SMALL-WORLD DYNAMICAL NETWORKS
Abstract
We investigate synchronization in a network of continuous-time dynamical systems with small-world connections. The small-world network is obtained by randomly adding a small fraction of connection in an originally nearest-neighbor coupled network. We show that, for any given coupling strength and a sufficiently large number of cells, the small-world dynamical network will synchronize, even if the original nearest-neighbor coupled network cannot achieve synchronization under the same condition.
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Citations
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
Critical 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
Synchronization in Small-World Systems
Barahona, M., & Pecora, L. M. (2002) · Physical Review Letters · doi:10.1103/physrevlett.89.054101 · Cited by 1,638
Second-Order Consensus for Multiagent Systems With Directed Topologies and Nonlinear Dynamics
Yu, W., Chen, G., Cao, M., & Kurths, J. (2010) · IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) · doi:10.1109/tsmcb.2009.2031624 · Cited by 1,120
Self-citationOn pinning synchronization of complex dynamical networks
Yu, W., Chen, G., & Lü, J. (2009) · Automatica · doi:10.1016/j.automatica.2008.07.016 · Cited by 1,016
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Metadata
- Authors
- WANG, X. F., & CHEN, G.
- Venue
- International Journal of Bifurcation and Chaos
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 2002-01
- Volume
- 12
- Issue
- 01
- Pages
- 187-192
- ISSN
- 0218-1274 (ISSN-L)
- 1793-6551
- OpenAlex
- W2140015226
- Cited by
- 856
- References
- 0
- FWCI
- 19.96
- Type
- journal article
- Language
- en
- Open access
- closed
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- WANG, X. F., & CHEN, G. (2002). SYNCHRONIZATION IN SMALL-WORLD DYNAMICAL NETWORKS. International Journal of Bifurcation and Chaos. https://doi.org/10.1142/s0218127402004292
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