Analytical coupling detection in the presence of noise and nonlinearity

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

Research output: Contribution to journalArticle

17 Citations (Scopus)

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)
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume69
Issue number1
DOIs
StatePublished - Jan 1 2004

Fingerprint

nonlinearity
Nonlinearity
Neuronal Network
Functional Relationship
Additive Noise
neurons
Neuron
Voltage
Unknown
electric potential
Demonstrate
Framework

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

@article{b0c449422d4141b79915b59db6a38318,
title = "Analytical coupling detection in the presence of noise and nonlinearity",
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.",
author = "Netoff, {Theoden I.} and Pecora, {Louis M.} and Steven Schiff",
year = "2004",
month = "1",
day = "1",
doi = "10.1103/PhysRevE.69.017201",
language = "English (US)",
volume = "69",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "1",

}

Analytical coupling detection in the presence of noise and nonlinearity. / Netoff, Theoden I.; Pecora, Louis M.; Schiff, Steven.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 69, No. 1, 01.01.2004.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Analytical coupling detection in the presence of noise and nonlinearity

AU - Netoff, Theoden I.

AU - Pecora, Louis M.

AU - Schiff, Steven

PY - 2004/1/1

Y1 - 2004/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85036400033&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85036400033&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.69.017201

DO - 10.1103/PhysRevE.69.017201

M3 - Article

C2 - 14995756

VL - 69

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 1

ER -