On the intrinsic time scales involved in synchronization: A data-driven approach

@article{citeulike:555965, 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. \©2005 American Institute of Physics}, author = {Chavez, Mario and Adam, Claude and Navarro, Vincent and Boccaletti, Stefano and Martinerie, Jacques }, citeulike-article-id = {555965}, doi = {http://dx.doi.org/10.1063/1.1938467}, journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science}, keywords = {emd}, number = {2}, posted-at = {2006-03-17 11:17:06}, priority = {2}, publisher = {AIP}, title = {On the intrinsic time scales involved in synchronization: A data-driven approach}, url = {http://dx.doi.org/10.1063/1.1938467}, volume = {15}, year = {2005} }

TY - JOUR ID - citeulike:555965 L3 - citeulike-article-id:555965 TI - On the intrinsic time scales involved in synchronization: A data-driven approach JF - Chaos: An Interdisciplinary Journal of Nonlinear Science VL - 15 IS - 2 PB - AIP N2 - 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. ©2005 American Institute of Physics KW - emd AU - Chavez, Mario AU - Adam, Claude AU - Navarro, Vincent AU - Boccaletti, Stefano AU - Martinerie, Jacques PY - 2005/// UR - http://dx.doi.org/10.1063/1.1938467 ER -