Chaos Design Python programming Demo by G Krishna Chauhan

Source Code

# File: tdemo_chaos.py

# Author: Gregor Lingl

# Date: 2009-06-24

# A demonstration of chaos

from turtle import *

N = 80

def f(x):

    return 3.9*x*(1-x)

def g(x):

    return 3.9*(x-x**2)

def h(x):

    return 3.9*x-3.9*x*x

def jumpto(x, y):

    penup(); goto(x,y)

def line(x1, y1, x2, y2):

    jumpto(x1, y1)

    pendown()

    goto(x2, y2)

def coosys():

    line(-1, 0, N+1, 0)

    line(0, -0.1, 0, 1.1)

def plot(fun, start, color):

    pencolor(color)

    x = start

    jumpto(0, x)

    pendown()

    dot(5)

    for i in range(N):

        x=fun(x)

        goto(i+1,x)

        dot(5)

def main():

    reset()

    setworldcoordinates(-1.0,-0.1, N+1, 1.1)

    speed(0)

    hideturtle()

    coosys()

    plot(f, 0.35, "blue")

    plot(g, 0.35, "green")

    plot(h, 0.35, "red")

    # Now zoom in:

    for s in range(100):

        setworldcoordinates(0.5*s,-0.1, N+1, 1.1)

    return "Done!"

if __name__ == "__main__":

    main()

    mainloop()