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What is...? Seminar - Josh Yee

math_sculpture
July 5, 2016
4:00PM - 5:00PM
Baker Systems 188

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Add to Calendar 2016-07-05 16:00:00 2016-07-05 17:00:00 What is...? Seminar - Josh Yee Title: What is Chaotic Behavior in Iterated Function Systems?Speaker: Josh YeeAbstract: I plan to introduce the notion of an iterated function system and some common terms and techniques used in analyzing them through a worked example of the function $x^2+c$ for certain $c$ values. I'll supply a definition of "chaos" and show how chaotic behavior appears in $x^2+c$. Time permitting, I'd also like to touch on Sarkovskii's ordering of the natural numbers and the construction of the Mandelbrot set from the filled Julia set of $z^2+c$ under iteration.Seminar URL: http://math.osu.edu/whatis Baker Systems 188 Department of Mathematics math@osu.edu America/New_York public

Title: What is Chaotic Behavior in Iterated Function Systems?

Speaker: Josh Yee

Abstract: I plan to introduce the notion of an iterated function system and some common terms and techniques used in analyzing them through a worked example of the function $x^2+c$ for certain $c$ values. I'll supply a definition of "chaos" and show how chaotic behavior appears in $x^2+c$. Time permitting, I'd also like to touch on Sarkovskii's ordering of the natural numbers and the construction of the Mandelbrot set from the filled Julia set of $z^2+c$ under iteration.

Seminar URL: http://math.osu.edu/whatis

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