Posted by
Jochen Fromm-2 on
Jun 15, 2005; 6:30am
URL: http://friam.383.s1.nabble.com/the-Edge-of-Stability-tp520347p520357.html
Interesting. Can you define "Edge of Chaos" in terms of chaos theory? I
think I have seen a definition of edge of chaos somewhere as the point right
before the onset of complete chaos in bifurcation diagrams.
-J.
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von Russell Standish
Gesendet: Mittwoch, 15. Juni 2005 12:05
An: The Friday Morning Applied Complexity Coffee Group
Betreff: Re: [FRIAM] the Edge of Chaos
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.