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.
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.]
-- When a true genius appears in the world, you may know him by this sign, that the dunces are all in confederacy against him. Jonathan Swift: Thoughts on Various Subjects, Moral and Diverting