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1D maps and the Li-Yorke theorem

Student-Run Applied & Math Seminar

Speaker: Nick Travers, UC Davis
Location: 2112 MSB
Start time: Wed, Jan 14 2009, 12:10PM

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.