Posted by
Russell Standish on
Jun 15, 2005; 6:05am
URL: http://friam.383.s1.nabble.com/the-Edge-of-Stability-tp520347p520356.html
I would echo Jochen's post somewhat. Edge of chaos is literally true
in Langton's CAs, which do have a chaotic phase. However, in more
general evolutionary systems, there appears to be a surface of
criticality, on one side of which lies stability (points or limit
cycles), and on the other instability, or completely random
behaviour. There is no evidence of deterministic chaos in this
unstable regime, however, so "edge of chaos" does not seem to be the
correct term (although it is often used). My own preferred term is
"self-organised criticality", although for some people this has its
own baggage.
Cheers
On Wed, Jun 15, 2005 at 08:18:30AM +0200, Jochen Fromm wrote:
> Message"Edge of chaos" is a good catchword. Is the buzzword well-defined or
> ill-defined?
> Do we mean (a) The region with highest complexity between order (no change
> or
> periodic change, rigid or fixed structures, too static) and chaos (constant,
> aperiodic change, no rigid or fixed structures, too noisy)? Or simply
> (b) a critical point with high correlation length and strong fluctuations?
>
http://cscs.umich.edu/~crshalizi/notebooks/edge-of-chaos.html>
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