The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
Phase Synchronization of Chaotic Oscillators
Abstract
We present the new effect of phase synchronization of weakly coupled self-sustained chaotic oscillators. To characterize this phenomenon, we use the analytic signal approach based on the Hilbert transform and partial Poincar\'e maps. For coupled R\"ossler attractors, in the synchronous regime the phases are locked, while the amplitudes vary chaotically and are practically uncorrelated. Coupling a chaotic oscillator with a hyperchaotic one, we observe another new type of synchronization, where the frequencies are entrained, while the phase difference is unbounded. A relation between the phase synchronization and the properties of the Lyapunov spectrum is studied.
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Citations
Cites
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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
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
Self-citationSpatial Synchrony in Population Dynamics
Liebhold, A., Koenig, W. D., & Bjørnstad, O. N. (2004) · Annual Review of Ecology, Evolution, and Systematics · doi:10.1146/annurev.ecolsys.34.011802.132516 · Cited by 965
Synchronization and desynchronization in epilepsy: controversies and hypotheses.
Jiruska, P., de Curtis, M., Jefferys, J. G. R., Schevon, C. A., Schiff, S. J., & Schindler, K. (2013) · The Journal of Physiology · doi:10.1113/jphysiol.2012.239590 · Cited by 678
The organization of physiological brain networks
Stam, C. J., & van Straaten, E. C. W. (2012) · Clinical Neurophysiology · doi:10.1016/j.clinph.2012.01.011 · Cited by 567
Metadata
- Authors
- Rosenblum, M. G., Pikovsky, A. S., & Kurths, J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1996-03-11
- Volume
- 76
- Issue
- 11
- Pages
- 1804-1807
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1966523973
- Cited by
- 2,743
- References
- 15
- FWCI
- 30.09
- Type
- journal article
- Language
- en
- Open access
- closed
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- Rosenblum, M. G., Pikovsky, A. S., & Kurths, J. (1996). Phase Synchronization of Chaotic Oscillators. Physical Review Letters. https://doi.org/10.1103/physrevlett.76.1804
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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