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.

Author: range

I'm mathematician/IT strategist/blogger from Canada living in Taipei.

7 thoughts on “Li-Yorke Theorem”

  1. 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

  2. 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!

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