The DOI matches its Crossref record; 34 of the 34 references it cites were found in a registry or an index.
Synchronous chaos in coupled oscillator systems
Abstract
We investigate the synchronization of chaotic oscillations in coupled oscillator systems, both theoretically and in analog electronic circuits. Particular attention is paid to deriving and testing general conditions for the stability of synchronous chaotic behavior in cases where the coupled oscillator array possesses a shift-invariant symmetry. These cases include the well studied cases of nearest-neighbor diffusive coupling and all-to-all or global coupling. An approximate criterion is developed to predict the stability of synchronous chaotic oscillations in the strong coupling limit, when the oscillators are coupled through a single coordinate (scalar coupling). This stability criterion is illustrated numerically in a set of coupled R\"ossler-like oscillators. Synchronization experiments with coupled R\"ossler-like oscillator circuits are also carried out to demonstrate the applicability of the theory to real systems.
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Cites
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Oppenheim, A. V., & Schafer, R. W. (1989) · Cited by 11,775
Synchronization in chaotic systems
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Self-citationChemical Oscillations, Waves, and Turbulence
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Circuit implementation of synchronized chaos with applications to communications
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Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
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Cited by
The synchronization of chaotic systems
Boccaletti, S., Kurths, J., Osipov, G., Valladares, D. L., & Zhou, C. S. (2002) · Physics Reports · doi:10.1016/s0370-1573(02)00137-0 · Cited by 2,764
Fundamentals of synchronization in chaotic systems, concepts, and applications
Pecora, L. M., Carroll, T. L., Johnson, G. A., Mar, D. J., & Heagy, J. F. (1997) · Chaos: An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/1.166278 · Cited by 862
Self-citationExplosive 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
- Heagy, J. F., Carroll, T. L., & Pecora, L. M.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 1994-09-01
- Volume
- 50
- Issue
- 3
- Pages
- 1874-1885
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2008187568
- Cited by
- 462
- References
- 34
- FWCI
- 11.88
- 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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