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import numpy as np from scipy.integrate import odeint

from bokeh.plotting import figure, show, output_file

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)

output_file("lorenz.html", title="lorenz.py example")

show(p)