illustrated using Python

Edward Lorenz studied a simplified model of weather patterns with what are now known as the Lorenz Equations dk dt 2 dt dt This was one of the first examples of deterministic chaos, which means that the dynamics appear chaotic even though there is no randomness built into the equations (a) Write a program that uses Euler's method to solve the Lorenz equations for the case = 10, r = 28, and b = 8/3 from t = 0 to t = 50 with initial conditions (x,y,z) = (0,1,0). Plot y as a function of time, which should reveal a chaotic, dynamic trajectory. (b) Now plot z vs. r to generate the famous "strange attractor" of the Lorenz Equations (This problem was taken from Newman, Computational Physics, 2013)