Butterfly effect in the the Lorenz system

Sensitivity to initial conditions visualized

This code can be used to showcase the butterfly effect in chaotic systems, by plotting several trajectories of the system under almost identical initial conditions.

We are using the Lorenz system as an example, but you can change this to any system of your choice.

Video explaining the phenomenon:

https://www.youtube.com/watch?v=O5b9dRd_eY0

Relevant references:

https://www.stevenstrogatz.com/books/nonlinear-dynamics-and-chaos-with-applications-to-physics-biology-chemistry-and-engineering

https://ieeexplore.ieee.org/abstract/document/9703188

https://www.mdpi.com/2227-7080/7/4/76

https://link.springer.com/article/10.1007/s40435-020-00712-0

Youtube channel: https://www.youtube.com/@lazarosmoysis5095