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Synchronous chaos in coupled map lattices with small-world interactions
Abstract
In certain physical situations, extensive interactions arise naturally in systems. We consider one such situation, namely, small-world couplings. We show that, for a fixed fraction of nonlocal couplings, synchronous chaos is always a stable attractor in the thermodynamic limit. We point out that randomness helps synchronization. We also show that there is a size dependent bifurcation in the collective behavior in such systems.
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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
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
Enhancing complex-network synchronization
Motter, A. E., Zhou, C. S., & Kurths, J. (2005) · Europhysics Letters (EPL) · doi:10.1209/epl/i2004-10365-4 · Cited by 317
Metadata
- Authors
- Gade, P. M., & Hu, C.-K.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2000-11-01
- Volume
- 62
- Issue
- 5
- Pages
- 6409-6413
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2007413466
- Cited by
- 231
- References
- 0
- FWCI
- 6.20
- Type
- journal article
- Language
- en
- Open access
- closed
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- Gade, P. M., & Hu, C.-K. (2000). Synchronous chaos in coupled map lattices with small-world interactions. Physical Review E. https://doi.org/10.1103/physreve.62.6409
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