Unlocking Chaos: The Logistic Map, Bifurcations & Attractors Explained 🌌 (Part 1 of 2)

Dive into the fascinating world of the logistic map and discover how simple equations can lead to complex chaotic behavior. Learn about attractors, bifurcations, and the emergence of chaos in this insightful introduction.

Unlocking Chaos: The Logistic Map, Bifurcations & Attractors Explained 🌌 (Part 1 of 2)
CatSynth TV
13.1K views β€’ Feb 14, 2022
Unlocking Chaos: The Logistic Map, Bifurcations & Attractors Explained 🌌 (Part 1 of 2)

About this video

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

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Video Information

Views

13.1K

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313

Duration

5:48

Published

Feb 14, 2022

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