title: Characterizing synchronization in time series using information measures extracted from symbolic representations.
abstract: We present a methodology to characterize synchronization in time series based on symbolic representations. Each time series is mapped onto a sequence of p -dimensional delay vectors that are subsequently transformed into symbols by means of a rank-ordering of their values. Based on these representations, we propose a transcription scheme between symbols of the respective time series to study synchronization properties. Group-theoretical considerations and the use of information measures allow us to classify regimes of synchronization and to assess its strength. We apply our method to a prototype nonlinear system, which reveals a rich variety of coupled dynamics. We investigate in detail the robustness of the derived synchronization measure against noise and compare its value with that of the established measures.
authors.affiliation: Max-Planck-Institut für Extraterrestrische Physik, 85748 Garching, Germany. monetti@mpe.mpg.de
authors.forename: Roberto
authors.initials: R
authors.lastname: Monetti
authors.forename: Wolfram
authors.initials: W
authors.lastname: Bunk
authors.forename: Thomas
authors.initials: T
authors.lastname: Aschenbrenner
authors.forename: Ferdinand
authors.initials: F
authors.lastname: Jamitzky