MIDI-143: Lorenz system

[WojciechMat]

Dashboard

streamlit run --server.port 4555 lorenz.py

Looks fun!

RungeKutta4

I have implemented 4-th order Runge-Kutta solver.

Usage:

rk4 = RungeKutta4(lorenz, x0=x0, y0=y0, h=h, num=num)
xyzs = rk4.integrate()

Previous: scipy.integrate RK45 chart

4-th order Ruge-Kutta method with changeable step from scipy.integrate.

[roszcz]

Thanks! Couple of ideas:

• I'm not a huge fan of 3d charts, more so interactive 😅 - it's ok to keep it, but from the point of view of solving numerical systems I think that 2d projections (XY, XZ, ZY), and time series (X(t), Y(t), Z(t)) can be more insightful :)
• let's try implementing our own numerical solvers - I want to get more insights into how they work, how to monitor tradeoffs, and what the parameters are doing 🔢