There are a
few things I would like to ponder on and let the thoughts develop to whatever
end. It is mentioned in page 48 of James Gleick “

**Chaos, making a new science**” that
“

*A letter from a colleague informed him that many systems were not so well-behaved as he had imagined, and it described a counterexample, a system with chaos and stability, together. This system was robust. If you perturbed slightly, as any natural system is constantly perturbed by noise, the strangeness would not go away. Robust and strange - Smale studied the letter with disbelief that melted away slowly*.”
And further

“

*Chaos and instability, concepts only beginning to acquire formal definitions, were not the same at all. A chaotic system could be stable if its particular brand of irregularity persisted in the face of small disturbances*.”
Irregularities
persisting in the face of small disturbances? How can this be used?
Irregularities that do not go away? Appearing time and time again? Could that
be all that chaos is? Just a curiosity? What about your claim about chaos being
creative? The way that nature, and not only, seeks out solutions to problems
presented? Any problems? The idea of stable chaos embodied in the persistent
presence of irregularities, does not conform with the idea that immersing in
chaos what comes out would be a novel way to deal with a problem. A new way of
thinking about it.

Or is it
that the difference is what a chaotic system is fed with. A chaotic machine,
all-in-one, along with its persistent irregularities, an ensemble that acts
upon its input to produce a certain output, and in-between the input is treated
in various ways characteristic of the particular chaotic machine. The
persistent irregularities the hallmark of its bearer, the particular chaotic
machine.

Chaotic machines being widespread and
ubiquitous, operating under the principles of self-similarity and universality,
for each activity natural or man-made, with their own particular range of
parameters representing the input that feeds into them, which as it is
mentioned in the same page

“

*The chaos Lorenz discovered, with all its unpredictability, was as stable as a marble in a bowl. You could add noise to this system, jiggle it, stir it up, interfere with its motion, and then when everything settled down, the transients dying away like echoes in a canyon, the system would return to the same peculiar pattern of irregularity as before. It was locally unpredictable, globally stable. Real dynamical systems played by a more complicated set of rules than anyone had imagined*.”
Chaotic
machines fractally connected, where their inputs being the outputs of other
chaotic machines residing in activity levels below, hierarchically arranged in
an intricate web that surpasses all reality. The range of parameters in chaotic
machines in a particular level, being crucial, to the range of parameters in
chaotic machines immediately below.

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