This image created with the
spectrum intercept algorithm
is based on the dynamical system characterized by a pair of coupled equations, x'=a*x*(0.1-y2)+b*y
y'=c*x+d*sin(ω*t+φ),
where x' and y' are the first derivative of x and y with respect to time, t.
The state variables here are x and y. The domain of this image in the map of possible states for this system is, (-0.5, -3.3)/(0.6795, -4.5) The parameter values are, a=10, b=0.7, c=-1, d=0.25, ω=2, and φ=0. This image differs from the Updraft image by ω=3.14 rather than 2 and the domain being different. |