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Physical Review E
A rigorous analytical approach is developed to test for the existence of a continuous nonlinear functional relationship between systems. We compare the application of this nonlinear local technique to the existing analytical linear global approach in the setting of increasing additive noise. For natural systems with unknown levels of noise and nonlinearity, we propose a general framework for detecting coupling. Lastly, we demonstrate the applicability of this method to detect coupling betweendoi:10.1103/physreve.69.017201 pmid:14995756 fatcat:psnggc5qzrdcri6sa57ywxplny