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RE: Beyond Ontologies


butterfly effect lorenz
Hi Didier:

That's not quite right.  The Butterfly Effect is that given a
sensitive dependence on initial conditions, two similar systems 
will evolve to very disimilar states in a short period of time. 
It is the effect of amplification that occurs when conditions 
are coupled by non-linear equations that determine unpredictable
or uncertain future states.

http://www.cmp.caltech.edu/~mcc/chaos_new/Lorenz.html

Strange attractors:

"The Lorenz attractor is an example of a strange attractor. Strange
attractors are unique from other phase space attractors in that one does not
know exactly where on the attractor the system will be. Two points on the
attractor that are near each other at one time will be arbitrarily far apart
at later times. The only restriction is that the state of system remain on
the attractor. Strange attractors are also unique in that they never close
on themselves - the motion of the system never repeats (non-periodic). The
motion we are describing on these strange attractors is what we mean by
chaotic behavior."

http://www.pha.jhu.edu/~ldb/seminar/attractors.html

Put two systems in competition with one another and you 
will get the butterfly effect.

http://www.fortunecity.com/emachines/e11/86/beffect.html

Chaos theory nailed the last nail into the coffin of 
determinism.  Given the competition of systems, the 
Semantic Web has a rocky road ahead because the 
upper level ontology is the empty set.  It does not 
mean it isn't useful; just not a great source for 
predictions of the future meaning of terms. Google 
to googling is an example.

len



From: Didier PH Martin [mailto:martind@n...]

Didier replies:
Usually, the butterfly effect is associated to chaotic systems having one or
several attractor.

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