Implementation of simple chaotic function.

chaos_func.py

# chaotic_func.py
# A simple program that illustrates chaotic behavior.


import numpy as np
import matplotlib.pyplot as plt


def chaos(x):
    while True:
        yield x
        x = 3.9 * x * (1 - x)


x = input("Enter a number between 0 and 1: ")
n = input("Enter n'th iteration: ")


myGen = chaos(x)
data = [myGen.next() for i in xrange(n)]


# Render graph
plt.plot(data, 'o-')
plt.title("Chaos Function (x = %0.2f, n = %d)" % (x, n))
plt.xlabel('Iteration Number')
plt.ylabel('Output (0 - 1)')
plt.grid()
plt.show()