Tuesday, April 19, 2005,
S G Mudd / 405

<?xml version='1.0' encoding='iso-8859-1' standalone='no'?>
<!DOCTYPE event SYSTEM 'http://www.colby.edu/news_events/calendar/event.dtd'>
<speaker>Math Dept.</speaker>
refreshments by Mari at 3:30 in Mudd 412A

Chaos and Fractals: A Taste of Nonlinear Dynamics
Seth Pierrepont

This talk provides a trip into the world of nonlinear dynamics to view chaos and fractals in both continuous and discrete systems. The talk starts along a path of simple definitions and concepts that will provide the necessary background to understand chaos and fractals in a general sense. The talk then comes to a fork, a bifurcation perhaps, as it splits from a general overview into two specific examinations of chaos and fractals in two different types of systems: continuous and discrete. For continuous systems, the focus will be on the Lorenz equations and the notion of a strange attractor, looking at the butterfly effect in three dimensional space. For discrete systems, the goal is to comprehend the magnificent Mandelbrot set and its index of Julia sets through a series of interactive applets and pictures. In short, this talk will trace the mathematical path that leads to some of the most beautiful geometric shapes in mathematics.
<sponsor>Math Dept.`</sponsor>
<audience>Faculty, Students</audience>

Open to the Colby community only