The DOI matches its Crossref record; 20 of the 20 references it cites were found in a registry or an index.
Detecting direction of coupling in interacting oscillators
Abstract
We propose a method for experimental detection of directionality of weak coupling between two self-sustained oscillators from bivariate data. The technique is applicable to both noisy and chaotic systems that can be nonidentical or even structurally different. We introduce an index that quantifies the asymmetry in coupling.
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Citations
Cites
Chemical Oscillations, Waves, and Turbulence
Kuramoto, Y. (1984) · Springer Series in Synergetics · doi:10.1007/978-3-642-69689-3 · Cited by 7,142
Synchronization: A Universal Concept in Nonlinear Sciences
Pikovsky, A., Rosenblum, M., & Kurths, J. (2001) · Cambridge University Press eBooks · doi:10.1017/cbo9780511755743 · Cited by 4,652
Self-citationMeasuring Information Transfer
Schreiber, T. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.461 · Cited by 4,530
Phase Synchronization of Chaotic Oscillators
Rosenblum, M. G., Pikovsky, A. S., & Kurths, J. (1996) · Physical Review Letters · doi:10.1103/physrevlett.76.1804 · Cited by 2,743
Self-citationNonlinear Time Series Analysis
Kantz, H., & Schreiber, T. (2003) · Cambridge University Press eBooks · doi:10.1017/cbo9780511755798 · Cited by 2,629
Perception's shadow: long-distance synchronization of human brain activity
Rodriguez, E., George, N., Lachaux, J.-P., Martinerie, J., Renault, B., & Varela, F. J. (1999) · Nature · doi:10.1038/17120 · Cited by 1,915
Detection ofn:mPhase Locking from Noisy Data: Application to Magnetoencephalography
Tass, P., Rosenblum, M. G., Weule, J., Kurths, J., Pikovsky, A., Volkmann, J., Schnitzler, A., & Freund, H.-J. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.3291 · Cited by 1,362
Self-citationAnalysis of Observed Chaotic Data
Abarbanel, H. D. I. (1996) · Institute for Nonlinear Science · doi:10.1007/978-1-4612-0763-4 · Cited by 1,189
Dynamics of Josephson Junctions and Circuits
Likharev, K. K., & Lukens, J. E. (1988) · Physics Today · doi:10.1063/1.2811641 · Cited by 1,011
A robust method for detecting interdependences: application to intracranially recorded EEG
Arnhold, J., Grassberger, P., Lehnertz, K., & Elger, C. E. (1999) · Physica D: Nonlinear Phenomena · doi:10.1016/s0167-2789(99)00140-2 · Cited by 439
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
Normal and pathological oscillatory communication in the brain
Schnitzler, A., & Gross, J. (2005) · Nature Reviews Neuroscience · doi:10.1038/nrn1650 · Cited by 1,247
Nonlinear multivariate analysis of neurophysiological signals
Pereda, E., Quiroga, R. Q., & Bhattacharya, J. (2005) · Progress in Neurobiology · doi:10.1016/j.pneurobio.2005.10.003 · Cited by 1,076
Testing for directed influences among neural signals using partial directed coherence
Schelter, B., Winterhalder, M., Eichler, M., Peifer, M., Hellwig, B., Guschlbauer, B., Lücking, C. H., Dahlhaus, R., & Timmer, J. (2006) · Journal of Neuroscience Methods · doi:10.1016/j.jneumeth.2005.09.001 · Cited by 299
Identification of coupling direction: Application to cardiorespiratory interaction
Rosenblum, M. G., Cimponeriu, L., Bezerianos, A., Patzak, A., & Mrowka, R. (2002) · Physical Review E · doi:10.1103/physreve.65.041909 · Cited by 261
Self-citation
Metadata
- Authors
- Rosenblum, M. G., & Pikovsky, A. S.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2001-09-21
- Volume
- 64
- Issue
- 4
- Pages
- 045202-045202
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2007218348
- Cited by
- 458
- References
- 20
- FWCI
- 7.66
- Type
- journal article
- Language
- en
- Open access
- closed
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- Rosenblum, M. G., & Pikovsky, A. S. (2001). Detecting direction of coupling in interacting oscillators. Physical Review E. https://doi.org/10.1103/physreve.64.045202
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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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