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Points of Julia sets

  1. Mar 5, 2012 #1
    I'm a little bewildered when reading about these Julia sets. From the definition a Julia set is the closure of all repelling periodic points of a complex map f.
    However I read that a Julia set always contain periodic and non-periodic points. Wasn't the definition including only periodic points? What am I missing here.
  2. jcsd
  3. Mar 6, 2012 #2


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    Science Advisor

    The "Julia set" in the second definition is the closure of the "Julia set" of the first definition.
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