ELFT HÍRADÓ

[StatFizSzeminar <statfiz AT glu.elte.hu>]

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               ELTE Institute of Physics
            SEMINARS IN STATISTICAL PHYSICS
             

                 Unusual day and place!
                July 26, Tuesday, 11 am.
                      Room: É 1.125



                      M. Howard Lee

        Physics Department, University of Georgia

"The 3-cycle problem in the logistic map and Sharkovskii theorem"


Perhaps the most unambiguous definition of chaos in a one 
dimensional chaotic map is given by Sharkovskii's theorem. This 
theorem states that the existence of a 3-cycle implies the 
existence of all other cycles and hence chaos. Given this 
theorem, it is thus important to show that 3-cycles exist. In 
recent papers (1,2) I have been able to obtain them by solving 
the cubic equation. At the fully developed chaos it is also 
possible to show that it is ergodic by isomorphism to the 
ergometric theory of the ergodic hypothesis that I have 
developed (3).

 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)

                        Room 1.125 

  1117 Budapest, Pázmány P. sétány 1/A (Northern Block)

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