Not sure what ratio you're referencing. Chaotic systems aren't random -
they just appear that way; the slightest change in one of the equation
variables results in a wildly different curve.
- Alan
On Fri, 6 Oct 2006, Jim Piat wrote:
Dear D^, Folks--
My sketchy understanding of chaos theory is based solely on popular
accounts. But isn't there some ratio that describes bifurcation points
in many turbulent systems -- or the locations of so called strange
attractors? That these fractal like chaotic systems are not so random
as previously supposed? Strictly my layman's question based upon my
layman's understanding or misunderstanding. So mine is a question to
you all on the side. I realize the answer does not bear directly on
what role the golden mean specifically may or may not play in fractal
systems (i.e. whether such a value would be fundamental structurally --
temporally or spatially).
Jim Piat
----- Original Message -----
From: P!^VP 0!Z!^VP
To: [email protected]
Sent: Friday, October 06, 2006 1:07 PM
Subject: Re: Existential
I wonder about this, Alan....
The golden mean evidences itself so nicely, naturally (of course) in so many
ways, I often wonder if it doesn't also exist on the temporal stage....
re:cycles... as an example... which COULD put it in a Mandelbrot or some other
such fractal relationship re chaos.....?
D^
On 5-Oct-06, at 10:54 PM, Alan Sondheim wrote:
I don't think chaos or fractals relate to the gold mean - you can make any
kind of display you want of course, including some that would relate - but that
would be in terms of one's graphics choice.
- Alan
blog at http://nikuko.blogspot.com - for URLs, DVDs, CDs, books/etc. see
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Trace at: http://tracearchive.ntu.ac.uk - search "Alan Sondheim"
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P!^VP
blog at http://nikuko.blogspot.com - for URLs, DVDs, CDs, books/etc. see
http://www.asondheim.org/advert.txt - contact [EMAIL PROTECTED], -
general directory of work: http://www.asondheim.org
Trace at: http://tracearchive.ntu.ac.uk - search "Alan Sondheim"
http://clc.as.wvu.edu:8080/clc/Members/sondheim
