Noise reduction

Finding the simplest dynamical system consistent with the data

Eric Kostelich, James A. Yorke

Research output: Contribution to journalArticle

138 Citations (Scopus)

Abstract

A novel method is described for noise reduction in chaotic experimental data whose dynamics are low dimensional. In addition, we show how the approach allows experimentalists to use many of the same techniques that have been essential for the analysis of nonlinear systems of ordinary differential equations and difference equations.

Original languageEnglish (US)
Pages (from-to)183-196
Number of pages14
JournalPhysica D: Nonlinear Phenomena
Volume41
Issue number2
DOIs
StatePublished - 1990
Externally publishedYes

Fingerprint

difference equations
Noise Reduction
Difference equations
Noise abatement
nonlinear systems
noise reduction
System of Ordinary Differential Equations
Ordinary differential equations
dynamical systems
Difference equation
Nonlinear systems
Dynamical systems
differential equations
Nonlinear Systems
Dynamical system
Experimental Data

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Noise reduction : Finding the simplest dynamical system consistent with the data. / Kostelich, Eric; Yorke, James A.

In: Physica D: Nonlinear Phenomena, Vol. 41, No. 2, 1990, p. 183-196.

Research output: Contribution to journalArticle

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