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Condition of chaos

  1. Sep 30, 2011 #1
    Usually positive Ljapunov exponent is said to be a condition for chaos,
    and the strange atractor is so.

    Are there any theorem which shows that the two condition is equivalent?
    They are necessary and sufficent conditions?
  2. jcsd
  3. Sep 30, 2011 #2
    The necessary conditions for chaos are topological mixing and sensitive dependence of initial conditions.
  4. Jan 2, 2012 #3
    Where can I find a precise statement and proof of "non-invertibility is necessary condition for chaos in 1D" ?
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