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We present a methodology to characterize synchronization in time series basedon symbolic representations. A symbol is linked to a sequence of numbersthrough the rank-order of its values. A representation of a time series resultsafter mapping all sequences into symbols. We propose a transcription schemebetween symbolic representations to study the dynamics of coupled systems. Thisscheme allows us to use elements of group theory and to derive informationmeasures to assess the degree of synchronization. We apply our method to aprototype non-linear system which displays a rich coupled dynamics.

Characterizing Synchronization in Time Series using Information Measures Extracted from Symbolic Representations