Application of the 0-1 Test for Chaos to Experimental Data

SIAM J. Appl. Dyn. Sys. 6 (2007) 395-402.

Ian Falconer, Georg Gottwald, Ian Melbourne and Kjetil Wormnes


Abstract

A reliable and efficient method to distinguish between chaotic and non-chaotic behaviour in noise-contaminated, but essentially stationary and deterministic, times series data has far reaching applications. Recently, we proposed a new method for detecting chaos which applies directly to the time series data and does not require phase space reconstruction. To illustrate the effectiveness of the method for experimental data, we analyse data from a bipolar motor.


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