SIAM Talk 11/2/23 ! The Transition to Chaos: The Orbit Diagram and The Mandelbrot Set


The Transition to Chaos: The Orbit Diagram and the Mandelbrot Set (A video presentation) with Robert Devaney

On November 2nd, 2023 in Room N718 FROM 1:00-2:00 PM.

In this video presentation, Dr. Devaney explores and explains two of the most fascinating images in the study of dynamical systems: the orbit (or bifurcation) diagram, and the Mandelbrot set. Because both of these images result from iterations of quadratic functions, the level of mathematical sophistication required to understand the presentation is minimal. The main goal of the presentation is to describe the relationship between these two images, how they are generated, and what they mean mathematically. Devaney also describes several important related concepts in dynamical systems theory, including period doubling bifurcations, Feignbaum’s number, Sarkovskii’s theorem and the role of critical orbits. Refreshments will be served.

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