Extracting unstable periodic orbits (UPOs) from the attractor and calculating largest Lyapunov exponent for the individual UPOs

From: Roger Bagula (tftn_at_earthlink.net)
Date: 08/27/04 

Date: Fri, 27 Aug 2004 17:38:51 GMT

>
>
>
> UPO analysis of standard dynamical systems:
>
> We analyzed the dynamics of human cardiac system from the electrical
> activity of the heart namely Electrocardiogram (ECG) through the
> Unstable Periodic Orbits (UPOs) which is a topological property. UPOs
> represent the skeleton for the strange attractor of dynamical systems,
> and there by many quantities that characterize chaos such as fractal
> dimension, average Lyapunov exponent and entropy can be determined by
> knowing the properties of UPO. The UPOs are extracted from the
> attractor reconstructed by time-delay method proposed by Takens,
> followed by the method of close returns proposed by Kostelich et al
> with some modifications.
>

http://www.public.asu.edu/~nkrish2/doctoral.html
<http://www.public.asu.edu/%7Enkrish2/doctoral.html> 

-- 
Respectfully, Roger L. Bagula
tftn@earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 :
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