Van der Pol Oscillatorx' = y
y' = b*(1 - x^2)*y - x + a*cos(c*t)
a = 0; b = .2; c = 2
/* The Van der Pol oscillator is a non-
conservative oscillator that arises in
electrical circuits employing vacuum
tubes.
Try changing the amplitude (a) to a
nonzero value. What do you notice
happens to the stability of the
system? The cosine term causes the
system to oscillate. Try different
values for b (negative, zero, positive,
very large) and examine the behavior
of the system over time. */
RK1.0E-101.0E-71.0E-120.11.0E12true00100.0txy0.00.10.1Van der Pol Oscillatorx' = y
y' = b*(1 - x^2)*y - x + a*cos(c*t)
a = 0; b = .2; c = 2
/* The Van der Pol oscillator is a non-
conservative oscillator that arises in
electrical circuits employing vacuum
tubes.
Try changing the amplitude (a) to a
nonzero value. What do you notice
happens to the stability of the
system? The cosine term causes the
system to oscillate. Try different
values for b (negative, zero, positive,
very large) and examine the behavior
of the system over time. */
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