Example: simple line plots with NaNs inserted.
import numpy as np
import matplotlib.pyplot as plt
t = np.arange(0.0, 1.0 + 0.01, 0.01)
s = np.cos(2 * 2*np.pi * t)
t[41:60] = np.nan
plt.subplot(2, 1, 1)
plt.plot(t, s, '-', lw=2)
plt.xlabel('time (s)')
plt.ylabel('voltage (mV)')
plt.title('A sine wave with a gap of NaNs between 0.4 and 0.6')
plt.grid(True)
plt.subplot(2, 1, 2)
t[0] = np.nan
t[-1] = np.nan
plt.plot(t, s, '-', lw=2)
plt.title('Also with NaN in first and last point')
plt.xlabel('time (s)')
plt.ylabel('more nans')
plt.grid(True)
plt.tight_layout()
plt.show()