scipy模拟洛伦兹吸引子

1.源码实现

from scipy.integrate import odeint
import numpy as np
from mpl_toolkits.mplot3d import Axes3D
import matplotlib.pyplot as plt

def lorenz(w, t, p, r, b):
    # 给出位置矢量w，和三个参数p, r, b计算出
    # dx/dt, dy/dt, dz/dt的值
    x, y, z = w
    # 直接与lorenz的计算公式对应 
    return np.array([p*(y-x), x*(r-z)-y, x*y-b*z])

t = np.arange(0, 30, 0.01) # 创建时间点 
# 调用ode对lorenz进行求解, 用两个不同的初始值 
track1 = odeint(lorenz, (0.0, 1.00, 0.0), t, args=(10.0, 28.0, 3.0))
track2 = odeint(lorenz, (0.0, 1.01, 0.0), t, args=(10.0, 28.0, 3.0))

# 绘图
fig = plt.figure()
ax = Axes3D(fig)
ax.plot(track1[:,0], track1[:,1], track1[:,2])
ax.plot(track2[:,0], track2[:,1], track2[:,2])

plt.savefig("test.png")

2.运行程序

$ python3 example.py

3.执行结果

test.png