lorenz

洛伦兹吸引子的绘图。洛伦兹吸引子。此示例演示了如何使用 multi_line 使用单个矢量化 Glyph 显示多条线。

详情

Bokeh API：

figure.multi_line

更多信息：

多条线

关键词：

分形, 洛伦兹, scipy

import numpy as np
from scipy.integrate import odeint

from bokeh.plotting import figure, show

sigma = 10
rho = 28
beta = 8.0/3
theta = 3 * np.pi / 4

def lorenz(xyz, t):
    x, y, z = xyz
    x_dot = sigma * (y - x)
    y_dot = x * rho - x * z - y
    z_dot = x * y - beta* z
    return [x_dot, y_dot, z_dot]

initial = (-10, -7, 35)
t = np.arange(0, 100, 0.006)

solution = odeint(lorenz, initial, t)

x = solution[:, 0]
y = solution[:, 1]
z = solution[:, 2]
xprime = np.cos(theta) * x - np.sin(theta) * y

colors = ["#C6DBEF", "#9ECAE1", "#6BAED6", "#4292C6", "#2171B5", "#08519C", "#08306B"]

p = figure(title="Lorenz attractor example", background_fill_color="#fafafa")

p.multi_line(np.array_split(xprime, 7), np.array_split(z, 7),
             line_color=colors, line_alpha=0.8, line_width=1.5)

show(p)