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Consider a case where multiple agents/systems are booking
the rooms in the hotel building, or just look at airline
booking strategies. Do these exhibit entropy and how does
one measure it?
Chaotic behavior usually means multiple systems are
colliding/competing/conflicting over the same resource
such that ownership/position/meaning are unpredictable.
Look for hidden couplers. The self-organization creates
the plot but chaos occurs between predictions. What
one knows about the past is unreliable for predicting
the future but what one knows about the plot tells the
limit of the range of outcomes. A range of outcomes
can be enumerated and for these enumerated values, one
can prepare responses. If one can see the setup, one
can position the response. To do this, one must operate
faster than real time and that is not a spooky operation.
It is a modeling opportunity. Agent-based simulation and
human role playing are two forms of modeling. A very
lucrative application will be hosting support and analysis
for MMRPGs designed for business. Nice way to train too.
One manages uncertainty; one does not solve it. Eliminating
uncertainty eliminates opportunity. Chaos is the engine of
evolution. See Fisher Information.
From: Thomas B. Passin [mailto:firstname.lastname@example.org]
So try out some of the standard approaches - come up with a use case,
write a scenario, personalize the system and write a story for it,
invent some users and walk through their using the thing.
It is easy to have a stylesheet exhibit exponential growth, possibly up
to some limit. Just write a recursive template - like one of those
templates that escapes a character - and pass it a string parameter that
equals the previous paramter concatenated with itself. It will run away
until the stack grows too large, which you could control with some kind
of a limit on the parameter length.
Exhibiting complex dynamical behavior almost by definition calls for
modeling or solving or simulating some mathematical system of equations.
Simpler chaotic systems exhibit their dynamical behavior in a
two-dimnensional phase space, e.g., plotting x(t+1) vs x(t) on the
horizontal and vertical axes. A "normal" system will be repesented by a
point that traversed some smooth path in the phase space plot, a chaotic
system will have each point be found on (or near) the attractor, but the
location of one point is apparently unrelated to the location of the
next point in time, except for being near the attractor. I wonder if
this could be simulated by describing an attractor with a polar
equation, then setting calues of delta(angle), delta(radius) randomly
for each step.
If so (and it seems plausible to me but I have never looked into it),
this might suggest some way to proceed with a stylesheet.