On the intrinsic time scales involved in synchronization: A data-driven approach
Year: 2005
Authors: Chavez M., Adam C., Navarro V., Boccaletti S., Martinerie J.
Autors Affiliation: Laboratoire de Neurosciences Cognitives et Imagerie Cerebrale (LENA), CNRS UPR-640, Hopital de La Salpetriere 47 Bd. de l’Hopital, 75651 Paris CEDEX 13, France;
Epilepsy Unit, Hopital de La Salpetriere, Paris, France;
Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy
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. (C) 2005 American Institute of Physics.
Journal/Review: CHAOS
Volume: 15 ( 2) Pages from: 023904-1 to: 023904-11
KeyWords: EMPIRICAL MODE DECOMPOSITION; PHASE SYNCHRONIZATION; INSTANTANEOUS FREQUENCY; SIGNALS; AMPLITUDEDOI: 10.1063/1.1938467Citations: 24data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-04-28References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here