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1D maps and the Li-Yorke theorem
Student-Run Research| Speaker: | Nick Travers, UC Davis |
| Location: | 2112 MSB |
| Start time: | Wed, Jan 14 2009, 12:10PM |
Description
I will give a brief introduction to 1D maps, periodic orbits
and stability, and then proceed to the Li-Yorke theorem. The theorem
concerns periodic orbits of 1D maps. A direct consequence of it is the
following (somewhat surprising) statement: If a continuous function from R
to R has a point of period 3, then it has points of all periods. No
background will be assumed.