The Planar Baker's Map - Dynamical Systems | Lecture 35

The fundamental process that lies behind a lot of chaotic mappings is to stretch and fold, just like one would do with a loaf of bread. A simple map that illustrates this process is the planar baker's map. In this lecture we introduce this mapping and analyze what the limiting set of the successive iterations looks like. This limit set is called an attractor, and in the case of the baker's map it is a strange attractor. That is, it has a fractal structure. We show that the fractal structure comes from the presence of a Cantor set that can be fully understood mathematically, as we do in this video. Learn more about the Cantor middle-thirds set: https://en.wikipedia.org/wiki/Cantor_set The Cantor middle-thirds set is an example of a fractal: https://en.wikipedia.org/wiki/Fractal What is a strange attractor? https://en.wikipedia.org/wiki/Attractor This course is taught by Jason Bramburger for Concordia University. More information on the instructor: https://hybrid.concordia.ca/jbrambur/ Follow @jbramburger7 on Twitter for updates.