Finding strange attractors - Part 1

In this project we will dive into the world of "strange attractors". These systems of equations produce chaotic patterns which despite being perfectly predetermined are practically impossible to predict. We will write Python code to search for these patterns and then visualize them.
Contents
00:00 Introduction
04:18 Quadratic map
10:50 Ruling out convergence
15:45 Searching for interesting patterns
19:56 Outro
Video links:
🎥 Part 2: • Finding strange attrac...
Sources:
🔗 Julien C. Sprott's homepage: sprott.physics.wisc.edu/sprot...
🔗 Strange Attractors: Creating Patterns in Chaos: sprott.physics.wisc.edu/fract...
🔗 Where I stole a lot of code from: paulbourke.net/fractals/lyapunov/
🔗 Wikipedia: en.wikipedia.org/wiki/Attractor
Note:
This video includes music from: www.bensound.com/

[@descriptionsuchandsuch4709]

very very cool!
The only little problem i saw is that "converging to infinity" is "diverging".
Saying "the series is converging" is actually the opposite of what it does in your code.
In reality a "good" series is "converging" towards an attractor - either a point, a loop or a strange attractor.

[@NguyenLe-yz8hq]

this blows my mind, keep on posting. learned so much from u

[@codingcassowary6391]

Thank you so much! Let me know in case you have a project idea that you would like to see on the channel.

[@monisprabu1174]

thanks for sharing your knowledge! absolutely mind blowing

[@carlkohweihao9584]

That's super helpful! Thanks for sharing!

[@pamdemonia]

Very cool! The first time I got something decent was mind-blowing. Thanks so much!

[@codingcassowary6391]

Nice! I know it's quite hard to get it working. But once the first images emerge, it's just absolutely amazing.

[@thienanh7432]

i don't know how to run code and it shows the bar or the graphic :(( can anyone help me that i need to download anything else?