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Topic: Chaos Theory Question
Replies: 4   Last Post: Jan 23, 2013 11:25 PM

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David C. Ullrich

Posts: 21,553
Registered: 12/6/04
Re: Chaos Theory Question
Posted: Jan 20, 2013 11:38 AM
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On Sun, 20 Jan 2013 16:19:55 +0000, Frederick Williams
<freddywilliams@btinternet.com> wrote:

>Ludovicus wrote:
>>
>> El sábado, 19 de enero de 2013 08:19:39 UTC-4:30, Bob escribió:

>> > Hello,
>> >
>> >
>> >
>> > Have started reading about Chaos theory.
>> >
>> > Sure is a very interesting concept.
>> >
>> >
>> >
>> > I would like to ask this question, please, for anyone who understands
>> >
>> > Chaos theory:
>> >
>> >
>> >
>> > Is it a requirement for a system to become (at some point), or exhibit,
>> >
>> > chaotic behavior for there to be "feedback" ?
>> >
>> >
>> >
>> > If so, positive, negative, either ?
>> >
>> >
>> >
>> > Thanks,
>> >
>> > Bob

>>
>> Yes.
>> A sort of feedback.
>> Example. The primes are chaotic because they are built by an algorithm determinist but its development is imprevisible.
>> Its construction by the Eratosthenes Sieve is based in a sort of feedback
>> because the produced primes affects the next primes to be produced.
>> Ludovicus

>
>I have a few questions about this question:
>
>(1) What is chaos in the mathematical sense?
>(2) What is a system (in the OP's sense)?
>(3) Supposing that Q2 has a satisfactory answer, what does it mean for
>(such a) system to have feedback?
>
>I know nothing about the matter, but it seems to me that one can have
>chaos (in the mathematical sense) in contexts where 'feedback' has no
>meaning.


More directly relevant to the OP, you can certainly have "feedback"
without "chaos".

>
>Also, (4) _are_ the primes chaotic in the OP's sense?
>
>[Yes, I could answer Q1 by looking it up, so take the Q to be... um...
>"Socratic", if that doesn't sound too pretentious.]





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