Last active
March 23, 2020 00:16
-
-
Save CryogenicPlanet/e07988808d14be57334c1ef6d8112e09 to your computer and use it in GitHub Desktop.
Solving the Lorenz System
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| def lorenz(x0,y0,z0,start_time,time_step): | |
| """ | |
| Returns an array of points, which the lorenz system passes by iteratively perfoming each rk4 timestep | |
| """ | |
| x,y,z = [x0],[y0],[z0] # Start Points | |
| count = 0 | |
| t = start_time or 0 # Start Time | |
| dt = time_step or 0.01 # Time Step | |
| while t < 150: | |
| t+= dt | |
| tempx,tempy,tempz = x[count],y[count],z[count] # Temporary Start Points | |
| func = np.array([dx,dy,dz]) | |
| runge_kutta_4 = rk4(func,t,tempx,tempy,tempz,dt) # Rk4 Function | |
| tempx += runge_kutta_4[0] | |
| tempy += runge_kutta_4[1] | |
| tempz += runge_kutta_4[2] | |
| count +=1 | |
| x.append(tempx) | |
| y.append(tempy) | |
| z.append(tempz) | |
| return x,y,z |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment