human
I am working on the file "SYDE 556 Lecture 5 Dynamics.ipynb".
The first task is:
Other fun functions

Oscillator
$F = -kx = m \ddot{x}$ let $\omega = \sqrt{\frac{k}{m}}$
$\frac{d}{dt} \begin{bmatrix}
\omega x \
\dot{x}
\end{bmatrix}
=
\begin{bmatrix}
0 & \omega \
-\omega & 0
\end{bmatrix}$
$\dot{x}=[x_1, -x_0]$
Can you write Python program for it?

What is a the Python program you requested?
assistant
#Here is the Python program you requested.

import nengo

model = nengo.Network('Oscillator')

freq = 1

with model:
    stim = nengo.Node(lambda t: [.5,.5] if t<.02 else [0,0])
    
    osc = nengo.Ensemble(200, dimensions=2)
    
    def feedback(x):
        return x[0]+freq*x[1], -freq*x[0]+x[1]
    
    nengo.Connection(osc, osc, function=feedback, synapse=.01)
    nengo.Connection(stim, osc)
    
    osc_p = nengo.Probe(osc, synapse=.01)
    
sim = nengo.Simulator(model)
sim.run(.5)

figure(figsize=(12,4))
subplot(1,2,1)
plot(sim.trange(), sim.data[osc_p]);
xlabel('Time (s)')
ylabel('State value')
       
subplot(1,2,2)
plot(sim.data[osc_p][:,0],sim.data[osc_p][:,1])
xlabel('$x_0$')
ylabel('$x_1$');

from nengo_gui.ipython import IPythonViz
IPythonViz(model, "oscillator.py.cfg")