We explore the logistic map, a quadratic mapping that is often used as the exemplar for how chaotic behavior can arise from a simple equation. We examine its fixed points and attractors at various parameters, including period doubling and the onset of chaos. We also dive into the details of the logistic map's associated bifurcation diagram, and the Feigenbaum constant.
Original background music uses Emulator II V, Synclavier V, and SQ-80 V from Arturia.
This is Part 1 of a two-part series. Part 2 featuring complex numbers is out now:
https://youtu.be/Un_-OZ0C8qw
And please consider supporting this channel so we may bring you more cultural content:
Patreon: https://www.patreon.com/catsynth
Ko-Fi: https://ko-fi.com/catsynth