The Logistic Map: Attractors, Bifurcation, and Chaos (Part 1 of 2)

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:

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[xinzhewu]

Thank you for such a clear explanation

[esotericmusicmachines]

Really lovely explanation and I enjoy your enthusiasm. Thanks!

[thomaschetubewaale]

Awesome, Can I get MatLab codes for this? Thanks

[mariusdmeridius]

CatSynth TV - Does Feigenbaum first constant have anything to do with exponential rate of change?

[Sagitarria]

I’m struggling with the translation from logistic models and the quadratic of the logistic map

[Joker.]

For one logistic system we change our life we are stupid