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- W2078556051 abstract "We address the problem of detecting, from scalar observations, the time scales involved in synchronization of complex oscillators with several spectral components. Using a recent data-driven procedure for analyzing nonlinear and nonstationary signals [Huang, Proc. R. Soc. London A 454, 903 (1998)], we decompose a time series in distinct oscillation modes which may display a time varying spectrum. When applied to coupled oscillators with multiple time scales, we found that motions are captured in a finite number of phase-locked oscillations. Further, in the synchronized state distinct phenomena as phase slips, anti-phase or perfect phase locking can be simultaneously observed at specific time scales. This fully data-driven approach (without a priori choice of filters or basis functions) is tested on numerical examples and illustrated on electric intracranial signals recorded from an epileptic patient. Implications for the study of the build-up of synchronized states in nonstationary and noisy systems are pointed out." @default.
- W2078556051 created "2016-06-24" @default.
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- W2078556051 date "2005-06-01" @default.
- W2078556051 modified "2023-10-16" @default.
- W2078556051 title "On the intrinsic time scales involved in synchronization: A data-driven approach" @default.
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- W2078556051 doi "https://doi.org/10.1063/1.1938467" @default.
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