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Chaotic attractors

  1. Oct 30, 2012 #1
    I am little confused about the right place to ask this question but anyway here it goes: How can one convince oneself that (if at all it is true) chaotic attractors always are fractals? Thanks in advance.

    P.S.: Little bit of googling suggested that there are examples of non-strange chaotic attractors for discreet maps, hence my question is ill-posed for maps but what about the continuous dynamical systems?
    Last edited: Oct 30, 2012
  2. jcsd
  3. Nov 1, 2012 #2


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    Well one place to start would be to look at 2 dimensional continuous systems and see if you find any strange attractors there because chaos requires 3 dimensions for continuous systems. Not sure how you would approach proving or disproving anything though.
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