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

  Articoli su Riviste JCR/ISI  (anno 2005)

Autori:  Chavez M., Adam C., Navarro V., Boccaletti S., Martinerie J

Affiliazione Autori:  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

Riassunto:  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.

Rivista/Giornale:  CHAOS
Volume n.:  15 ( 2)      Pagine da: 023904-1  a: 023904-11
DOI: 10.1063/1.1938467

*Impact Factor della Rivista: (2005) 1.760   *Citazioni: 23
data tratti da "WEB OF SCIENCE" (marchio registrato di Thomson Reuters) ed aggiornati a:  19/05/2019

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