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Jun
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comment A good, concrete example of using “chaos theory” to solve an easily understood engineering problem?
This paper is very nice -- particularly Section 6 which covers a few empirical studies.
Jun
28
accepted A good, concrete example of using “chaos theory” to solve an easily understood engineering problem?
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Aug
22
comment A good, concrete example of using “chaos theory” to solve an easily understood engineering problem?
regarding the step motor link -- Does this summary sound correct?: they propose a dynamical model for the motor, analyze the "chaotic structure" of the model, collect empirical data to confirm that the observed dynamics match the predicted "chaotic structure" and that it is of a relatively simple form, and conclude by asserting that "chaotic control methods" could be used which would require less energy than other more aggressive controls, without explicitly describing how those controls would work, but instead referencing other papers? (sorry for having to ask such basic questions...)
Aug
22
comment A good, concrete example of using “chaos theory” to solve an easily understood engineering problem?
thanks, the two links reflect the gist of what I was after. Due to my own limitations, I can't say the I see the full picture still. Specifically, for the epjb article, for a particular combination of F and low driving frequency, an ensemble will exhibit ballistic flow. However, for any actual system, is it true that we would not know the phase Theta at which we are driving the system? So while there will be ballistic flow to either the left or right, we will be unable to predict which? If so, I could see how that knowledge might still be useful. Does my summary sound correct?
Aug
22
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Aug
22
revised A good, concrete example of using “chaos theory” to solve an easily understood engineering problem?
small wording tweek
Aug
22
asked A good, concrete example of using “chaos theory” to solve an easily understood engineering problem?