Li-Yorke Theorem

After my exam, I kept repeating:

Period three equals chaos.

over and over again in my head. I couldn’t stop.

The Li-Yorke Theorem is a special case of the Sharkovskii Theorem.

7 Responses to “Li-Yorke Theorem”

  1. 1 range April 30, 2009 at 04:50

    The exam went well, love you

  2. 2 Vishal B. May 4, 2009 at 02:25

    I can’t help but chuckle here. I arrived at your blog while looking up some information on PyKE again, and then took a look at your ‘About’ section, and then your wife’s bio.

    It is just mildly amusing to read of math and your wife, from an arts background congratulating you on a math(?) exam!

    Good luck with the math.

    – Vishal

  3. 3 Jim Yorke July 9, 2009 at 02:53

    But Period Three implies chaos is NOT a special case of Sharkovsky’s result. See

  4. 4 range July 9, 2009 at 03:58

    Yep, it’s good to mention that.

  5. 5 ashvin rajan February 18, 2019 at 07:32

    This assertion is FALSE. The Li-Yorke theorem is NOT a special case of Sharkovskii’s theorem. The Li-Yorke theorem asserts the existence of an uncountable scrambled set-a deep and original insight that has opened up new areas of research in dynamical systems. Sorry to be annoyed, but this sort of remark feels like nails dragged across a blackboard!

  1. 1 Zonked Out « memoirs on a rainy day Trackback on April 28, 2009 at 06:26
  2. 2 memoirs on a rainy day Trackback on April 28, 2009 at 11:55

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ranjitwithkinginbehand.jpgI'm Range, your host. On the menu, photos, art, stories, entertainment and reviews. Links, maths, education and social issues. I'm in Quebec (Canada) or Taiwan (R.O.C.). Follow me on Twitter.

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