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Strange nondeterministic issues when using phase_plot with X, Y and X0 set #970

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@FeldrinH

Description

@FeldrinH

I am trying to draw a phase plot with both streamlines and a vector field. Using the inverted pendulum ODE from https://python-control.readthedocs.io/en/latest/phaseplots.html, I put together the following script:

import numpy as np
import matplotlib.pyplot as plt
from control.phaseplot import phase_plot

# Define the ODEs for a damped (inverted) pendulum
def invpend_ode(x, t, m=1., l=1., b=0.2, g=1):
    return x[1], -b/m*x[1] + (g*l/m)*np.sin(x[0])

# Set up the figure the way we want it to look
plt.figure()
plt.title('Inverted pendulum')

# Outer trajectories
phase_plot(
    invpend_ode,
    X=(-10, 10, 20),
    Y=(-10, 10, 20),
    X0=[[-2*np.pi, 1.6], [-2*np.pi, 0.5], [-1.8, 2.1],
        [-1, 2.1], [4.2, 2.1], [5, 2.1],
        [2*np.pi, -1.6], [2*np.pi, -0.5], [1.8, -2.1],
        [1, -2.1], [-4.2, -2.1], [-5, -2.1]]
)

plt.show()

I would have expected this to plot a simple vector field with a grid of 20*20 arrows and streamlines from the given inital conditions. Instead, each time I run this I get a different malformed plot, often with at least one axis somehow having arrows at values like 10^281. Various RuntimeWarnings about overflow are also sometimes printed in the console. Some examples of the plots I have gotten:

image
image
image
image
image

This does not seem like expected behaviour. What is going on here?

Tested on Windows 10 with Python 3.10.11, matplotlib 3.8.2 and control 0.9.4 from pip.

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