Analytical coupling detection in the presence of noise and nonlinearity

Theoden I. Netoff, Louis M. Pecora, Steven J. Schiff

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

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 between simultaneous, experimentally measured, intracellular voltages between neurons within a mammalian neuronal network.

Original languageEnglish (US)
Article number017201
Pages (from-to)172011-172014
Number of pages4
JournalPhysical review. E, Statistical, nonlinear, and soft matter physics
Volume69
Issue number1
DOIs
StatePublished - Jan 1 2004

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