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Spatial correlations of synchronization errors in extended chaotic systems

Journal: Europhysics Letters
Year: 2009   Volume: 86
Initial page: 20008  
Status: Published
PDF file: 2009_szendro_EPL.pdf
DOI: 10.1209/0295-5075/86/20008
Szendro, I., , López, J.M.

We discuss the temporal evolution of correlations of synchronization errors in spatially extended chaotic systems near (and below) the synchronization transition.We exploit the fact that, by construction, synchronization errors are finite perturbations of the coupled system in order to analyze the dynamics of the error and how their properties are determined by the nearby phase transition. We introduce a novel diagram plot that allows us to identify the transition universality class in a very intuitive and computationally inexpensive way.