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.
Li-Yorke Theorem
Published April 28, 2009 asides , mathematics 7 CommentsTags: asides, chaos, mathematics
7 Responses to “Li-Yorke Theorem”
- 1 Trackback on April 28, 2009 at 06:26
- 2 Trackback on April 28, 2009 at 11:55
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Well it is good to hear that you made it through the exam. Love you to bits! Jo
The exam went well, love you
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
But Period Three implies chaos is NOT a special case of Sharkovsky’s result. See
http://en.wikipedia.org/wiki/James_yorke
Yep, it’s good to mention that.