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Chaos test

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Chaos test

by Ahmed Ben Saïda

 

13 Jan 2009 (Updated 17 Feb 2009)

A test for chaotic dynamics of a noisy time series based on the Lyapunov exponent.

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Description

This test performs the test for chaotic dynamics of a noisy time series based on the Lyapunov exponent. The input is a vector of observed time series which can be stochastic or chaotic, usually time series has noise, so this code tests the positivity of the Lyapunov exponent based on a neural net approximation of the hidden chaotic map. This test computes the Lyapunov exponent using the Jacobian method without any need to specify an ODE or a suspected map giving only a vector of observation.
For a detailed information see my working paper: http://ssrn.com/abstract=970074

Required Products GARCH Toolbox
Optimization Toolbox
Statistics Toolbox
MATLAB release MATLAB 7.4 (R2007a)
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Updates
17 Feb 2009

Added some detailed information in file description.

Tag Activity for this File
Tag Applied By Date/Time
chaos Ahmed Ben Saïda 13 Jan 2009 15:58:55
lyapunov exponent Ahmed Ben Saïda 13 Jan 2009 15:58:55
bifurcation Ahmed Ben Saïda 17 Feb 2009 14:23:41
time series Ahmed Ben Saïda 17 Feb 2009 14:23:41
bifurcation Rodrigo Juan Hernández 07 Sep 2009 15:34:30
chaos Dragoljub Gajic 10 Nov 2011 13:40:00

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