logistic_map - GitPress.io

Example Python program logistic_map.py Python version 3.x or newer. To check the Python version use:

python --version

Modules

import matplotlib.pyplot as plt
import matplotlib as mpl
from matplotlib import animation
from matplotlib.animation import PillowWriter
import numpy as np
import seaborn as sn

Methods

def logistic_map(z=0.2, r=2):

Code

Python example

import matplotlib.pyplot as plt
import matplotlib as mpl
from matplotlib import animation
from matplotlib.animation import PillowWriter
import numpy as np
import seaborn as sn

mpl.use("TkAgg")
plt.style.use('seaborn')
mpl.rcParams['figure.dpi'] = 200

def logistic_map(z=0.2, r=2):
    res = []
    for _ in range(20):
        z = r * z * (1 - z)
        res.append(z)
    return res



if __name__ == "__main__":
    fig = plt.figure()

    fig.tight_layout(rect=[0, 0.03, 1, 0.95])
    fig.show()
    fig.canvas.draw()
    ims = []
    z = []
    plt.ylabel("x")
    plt.xlabel("r")
    for j, i in enumerate(np.linspace(2, 4, 500)):
        z.append(logistic_map(z=0.2, r=i))
        f = plt.plot(np.linspace(2.6, 4, len(z)), z, "k.", markersize=3,
                     alpha=1)

        print(i)
        ims.append(f)

        #fig.canvas.draw()

    ani = animation.ArtistAnimation(fig, ims, interval=3, 
                              repeat_delay=500)

    writer = PillowWriter(fps=len(ims))
    ani.save("logistic.gif", writer=writer)

    fig.tight_layout(rect=[0, 0.03, 1, 0.95])
    plt.show()

Useful Links

Articles: https://python-commandments.org/
Python shell: https://bsdnerds.org/learn-python/
Tutorial: https://pythonprogramminglanguage.com/