This image created with the
spectrum intercept algorithm
is based on the dynamical system characterized by the expression,
θ''=-b*sin(θ)-μ*θ',
where θ'' is the second derivative of θ with respect to time.
The domain of this image in the map of possible states for this system is, (-9.43, 4.5)/(9.43, -4.5) The parameter values are b=3.33, μ=0.0133. This image is created from the angular velocity of a pendulum after a fixed integration time has expired. |