1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    The "Julia set" in the second definition is the closure of the "Julia set" of the first definition.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook