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This image created with the
spectrum intercept algorithm
is based on the dynamical system expressed by,
x''=a*cos(ω*t+φ)-b*(x-x3)-μ*x',
where x' is the first derivative of x with respect to time, t, and x'' is the second derivative of x with respect to time.
The state variables here are x and x'. The domain of this image in the map of possible states for this system is, (-2.1267, 4.836)/(2.6697, -6.073) The parameter values are, a=3, ω=0.2, φ, b=-3, and μ=0.2 This image differs from the Noise image only in that in this case we only integrate 30% as long as in the Noise case, hiding a lot of the detail. |