Lorenz System with RK4 solution

Numerical solution of the Lorenz System of ordinary differential equations using the RK4 method. This video demonstrates the sensitivity to initial conditions in a Dynamical System by plotting the Lorenz Attractor in a 3D plane. The three colors represent 3 initial conditions which diverge after some time in practice leading to dramatically different outcomes in prediction for atmospheric convection. The attractor is shown from different angles. Credit for the animation using the pygame library goes to QuantitativeBytes.