Manchester Applied Mathematics and Numerical Analysis Seminars

Winter 1998

December 9, 1998, 4.00 pm

Lecture Theatre D13 Material Science

Physical meaning for Mandelbrot and Julia sets

Christian Beck, Dept. of Mathematical Sciences, QMW.

We consider the dynamics of a kicked charged particle moving in a double-well potential and a time-dependent magnetic field. In certain cases the stroboscopic dynamics reduces to the complex logistic map, thus providing physical meaning for the Mandelbrot set. In other cases we obtain iterated function systems consisting of the inverse complex logistic map, thus providing physical meaning for Julia sets. Our approach can be generalized to complex mappings with a maximum of order q.

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For further info contact either Matthias Heil (mheil@ma.man.ac.uk), Mark Muldoon (M.Muldoon@umist.ac.uk)or the seminar secretary (Tel. 0161 275 5800).

Page last modified: September 24, 1998

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