混沌吸引子

版权声明：本文为博主原创文章，未经博主允许不得转载。 https://blog.csdn.net/u014593570/article/details/85048989

Henon映射的混沌吸引子

import matplotlib.pyplot as plt
listx=[]
listy=[]
def Henon(x,y,n):
    for i in range(n):
        x1 = 1 - 1.4 * x ** 2 + y
        y1 = 0.3 * x
        x = x1
        y = y1
        listx.append(x)
        listy.append(y)

if __name__ == '__main__':
    Henon(0.13245678,0.13246789,1000)
    plt.plot(listx, listy)
    plt.show()

Lorenz吸引子

# -*- coding: utf-8 -*-
"Lorenz's strange attractor"
import matplotlib as plt
from mpl_toolkits.mplot3d import Axes3D
import numpy as np
import matplotlib.pyplot as plt
xs, ys, zs = [], [], []
def mkPoints():
    a, b, c = 10.0, 28.0, 8.0 / 3.0
    h = 0.01
    x0, y0, z0 = 0.1, 0, 0
    for i in range(10000):
        x1 = x0 + h * a * (y0 - x0)
        y1 = y0 + h * (x0 * (b - z0) - y0)
        z1 = z0 + h * (x0 * y0 - c * z0)
        x0, y0, z0 = x1, y1, z1
        xs.append(x0)
        ys.append(y0)
        zs.append(z0)

if __name__ == "__main__":
    # 画3D的
    fig = plt.figure()
    ax = Axes3D(fig)
    mkPoints()
    ax.plot(xs, ys, zs, label="Lorenz's strange attractor")
    ax.legend()
    plt.show()
    
    
    # 画2D的
    # mkPoints()
    # plt.plot(zs, ys)
    # plt.show()