Departmental Colloquium
 Title
 Chaos and 3cycle: Tales from UGA Physics
 Guest Speaker
 Prof. M. Howard Lee
 Guest Affiliation
 UIGA Department of Physics
 Host
 Willliam Dennis
 When
 Thursday, January 12, 2012 4:00 pm  5:00 pm
 Location
 Physics 202
 Details

The progress on chaos made at UGA was not by design, but by some happenstance in circumstances, tales of which will be woven into this talk. The technical details are as follows:
The clearest definition of chaos is given by Sharkovskii's theorem, which says that the existence of a 3cycle in a chaotic map implies chaos. Thus showing a 3cycle exists is of deepest interest. For the logistic map I have solved the 3cycle problem[1,2]. At the fully developed chaos I have also proved that the trajectories are ergodic as well by a concept from measure theory. The same conclusion is reached by my ergometric theory[3].
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1. M H Lee, J Math Phys 50, 1227 (2009).
2. M H Lee, Acta Phys Pol B 42, 1071 (2011).
3. M H Lee, Phys Rev Lett 87, 250601 (2001).